7912934400 has 528 divisors, whose sum is σ = 30703034880. Its totient is φ = 1759641600.

The previous prime is 7912934399. The next prime is 7912934411. The reversal of 7912934400 is 44392197.

It is a super-2 number, since 2×7912934400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 22041421 + ... + 22041779.

Almost surely, 2^7912934400 is an apocalyptic number.

7912934400 is a gapful number since it is divisible by the number (70) 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 7912934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351517440).

7912934400 is an abundant number, since it is smaller than the sum of its proper divisors (22790100480).

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

7912934400 is a wasteful number, since it uses less digits than its factorization.

7912934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7912934400 is about 88954.6760996857. The cubic root of 7912934400 is about 1992.7180521291.

The spelling of 7912934400 in words is "seven billion, nine hundred twelve million, nine hundred thirty-four thousand, four hundred".