7956748800 has 1920 divisors, whose sum is σ = 40917381120. Its totient is φ = 1459814400.

The previous prime is 7956748759. The next prime is 7956748819. The reversal of 7956748800 is 88476597.

7956748800 is a `hidden beast` number, since 79 + 567 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345945589 + ... + 345945611.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^7956748800 is an apocalyptic number.

7956748800 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 7956748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458690560).

7956748800 is an abundant number, since it is smaller than the sum of its proper divisors (32960632320).

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

7956748800 is a wasteful number, since it uses less digits than its factorization.

7956748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7956748800 is about 89200.6098633860. The cubic root of 7956748800 is about 1996.3892183844.

The spelling of 7956748800 in words is "seven billion, nine hundred fifty-six million, seven hundred forty-eight thousand, eight hundred".