8620780320 has 384 divisors, whose sum is σ = 32049561600. Its totient is φ = 2158119936.

The previous prime is 8620780319. The next prime is 8620780327. The reversal of 8620780320 is 230870268.

It is a happy number.

8620780320 is a `hidden beast` number, since 8 + 620 + 7 + 8 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8620780327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10423747 + ... + 10424573.

It is an arithmetic number, because the mean of its divisors is an integer number (83462400).

Almost surely, 2^8620780320 is an apocalyptic number.

8620780320 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 8620780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024780800).

8620780320 is an abundant number, since it is smaller than the sum of its proper divisors (23428781280).

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

8620780320 is a wasteful number, since it uses less digits than its factorization.

8620780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8620780320 is about 92848.1573322810. The cubic root of 8620780320 is about 2050.4484697989.

The spelling of 8620780320 in words is "eight billion, six hundred twenty million, seven hundred eighty thousand, three hundred twenty".