8152390800 has 900 divisors, whose sum is σ = 33493114116. Its totient is φ = 1891123200.

The previous prime is 8152390789. The next prime is 8152390823. The reversal of 8152390800 is 80932518.

It can be written as a sum of positive squares in 6 ways, for example, as 606341376 + 7546049424 = 24624^2 + 86868^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×8152390800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 198838780 + ... + 198838820.

Almost surely, 2^8152390800 is an apocalyptic number.

8152390800 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 8152390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746557058).

8152390800 is an abundant number, since it is smaller than the sum of its proper divisors (25340723316).

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

8152390800 is a wasteful number, since it uses less digits than its factorization.

8152390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8152390800 is about 90290.5908719175. The cubic root of 8152390800 is about 2012.6194407205.

The spelling of 8152390800 in words is "eight billion, one hundred fifty-two million, three hundred ninety thousand, eight hundred".