7901056800 has 864 divisors, whose sum is σ = 35487728640. Its totient is φ = 1609113600.

The previous prime is 7901056771. The next prime is 7901056829. The reversal of 7901056800 is 86501097.

7901056800 is a `hidden beast` number, since 7 + 90 + 1 + 0 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7901056771) and next prime (7901056829).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20311006 + ... + 20311394.

It is an arithmetic number, because the mean of its divisors is an integer number (41073760).

Almost surely, 2^7901056800 is an apocalyptic number.

7901056800 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 7901056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743864320).

7901056800 is an abundant number, since it is smaller than the sum of its proper divisors (27586671840).

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

7901056800 is a wasteful number, since it uses less digits than its factorization.

7901056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7901056800 is about 88887.8889388200. Note that the first 3 decimals coincide. The cubic root of 7901056800 is about 1991.7205056163.

Adding to 7901056800 its reverse (86501097), we get a palindrome (7987557897).

The spelling of 7901056800 in words is "seven billion, nine hundred one million, fifty-six thousand, eight hundred".