8768390400 has 864 divisors, whose sum is σ = 40147430400. Its totient is φ = 1819238400.

The previous prime is 8768390399. The next prime is 8768390417. The reversal of 8768390400 is 40938678.

It is a happy number.

8768390400 is a `hidden beast` number, since 87 + 6 + 83 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305271 + ... + 13305929.

Almost surely, 2^8768390400 is an apocalyptic number.

8768390400 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 8768390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073715200).

8768390400 is an abundant number, since it is smaller than the sum of its proper divisors (31379040000).

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

8768390400 is a wasteful number, since it uses less digits than its factorization.

8768390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8768390400 is about 93639.6838952375. The cubic root of 8768390400 is about 2062.0852984408.

The spelling of 8768390400 in words is "eight billion, seven hundred sixty-eight million, three hundred ninety thousand, four hundred".