8061715200 has 1296 divisors, whose sum is σ = 36406419840. Its totient is φ = 1548288000.

The previous prime is 8061715183. The next prime is 8061715243. The reversal of 8061715200 is 25171608.

It is a super-2 number, since 2×8061715200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196627180 + ... + 196627220.

Almost surely, 2^8061715200 is an apocalyptic number.

8061715200 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 8061715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203209920).

8061715200 is an abundant number, since it is smaller than the sum of its proper divisors (28344704640).

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

8061715200 is a wasteful number, since it uses less digits than its factorization.

8061715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 8061715200 is about 89787.0547462161. The cubic root of 8061715200 is about 2005.1297648407.

Adding to 8061715200 its reverse (25171608), we get a palindrome (8086886808).

The spelling of 8061715200 in words is "eight billion, sixty-one million, seven hundred fifteen thousand, two hundred".