7923056400 has 180 divisors, whose sum is σ = 31423193152. Its totient is φ = 1810978560.

The previous prime is 7923056377. The next prime is 7923056441. The reversal of 7923056400 is 46503297.

7923056400 is a `hidden beast` number, since 7 + 9 + 2 + 3 + 0 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132004 + ... + 182403.

Almost surely, 2^7923056400 is an apocalyptic number.

7923056400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7923056400 is an abundant number, since it is smaller than the sum of its proper divisors (23500136752).

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

7923056400 is a wasteful number, since it uses less digits than its factorization.

7923056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314438 (or 314424 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7923056400 is about 89011.5520592693. The cubic root of 7923056400 is about 1993.5673661253.

Adding to 7923056400 its reverse (46503297), we get a palindrome (7969559697).

The spelling of 7923056400 in words is "seven billion, nine hundred twenty-three million, fifty-six thousand, four hundred".