8016870400 has 528 divisors, whose sum is σ = 25585862400. Its totient is φ = 2468659200.

The previous prime is 8016870397. The next prime is 8016870451. The reversal of 8016870400 is 40786108.

It is a happy number.

It is a super-2 number, since 2×8016870400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96588759 + ... + 96588841.

Almost surely, 2^8016870400 is an apocalyptic number.

8016870400 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 8016870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792931200).

8016870400 is an abundant number, since it is smaller than the sum of its proper divisors (17568992000).

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

8016870400 is a wasteful number, since it uses less digits than its factorization.

8016870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8016870400 is about 89536.9778359757. The cubic root of 8016870400 is about 2001.4048795923.

The spelling of 8016870400 in words is "eight billion, sixteen million, eight hundred seventy thousand, four hundred".