8116764400 has 180 divisors, whose sum is σ = 20662115040. Its totient is φ = 3063526400.

The previous prime is 8116764389. The next prime is 8116764433. The reversal of 8116764400 is 44676118.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8116764400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18832185 + ... + 18832615.

It is an arithmetic number, because the mean of its divisors is an integer number (114789528).

Almost surely, 2^8116764400 is an apocalyptic number.

8116764400 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 8116764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331057520).

8116764400 is an abundant number, since it is smaller than the sum of its proper divisors (12545350640).

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

8116764400 is a wasteful number, since it uses less digits than its factorization.

8116764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 8116764400 is about 90093.0874151841. The cubic root of 8116764400 is about 2009.6834068164.

The spelling of 8116764400 in words is "eight billion, one hundred sixteen million, seven hundred sixty-four thousand, four hundred".