8455000320 has 1008 divisors, whose sum is σ = 35468444592. Its totient is φ = 1911029760.

The previous prime is 8455000319. The next prime is 8455000327. The reversal of 8455000320 is 230005548.

8455000320 is a `hidden beast` number, since 84 + 550 + 0 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1285652736 + 7169347584 = 35856^2 + 84672^2 .

It is a super-2 number, since 2×8455000320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8455000327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 206219500 + ... + 206219540.

It is an arithmetic number, because the mean of its divisors is an integer number (35186949).

Almost surely, 2^8455000320 is an apocalyptic number.

8455000320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8455000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734222296).

8455000320 is an abundant number, since it is smaller than the sum of its proper divisors (27013444272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8455000320 is a wasteful number, since it uses less digits than its factorization.

8455000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8455000320 is about 91951.0756870196. The cubic root of 8455000320 is about 2037.2197419985.

Adding to 8455000320 its reverse (230005548), we get a palindrome (8685005868).

The spelling of 8455000320 in words is "eight billion, four hundred fifty-five million, three hundred twenty", and thus it is an aban number.