807164870400 has 2160 divisors, whose sum is σ = 3753784742400. Its totient is φ = 166856785920.

The previous prime is 807164870399. The next prime is 807164870411. The reversal of 807164870400 is 4078461708.

807164870400 is a `hidden beast` number, since 8 + 0 + 7 + 164 + 87 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1585785346 + ... + 1585785854.

Almost surely, 2^807164870400 is an apocalyptic number.

807164870400 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 807164870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876892371200).

807164870400 is an abundant number, since it is smaller than the sum of its proper divisors (2946619872000).

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

807164870400 is a wasteful number, since it uses less digits than its factorization.

807164870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 807164870400 in words is "eight hundred seven billion, one hundred sixty-four million, eight hundred seventy thousand, four hundred".