7997520092800 has 384 divisors, whose sum is σ = 24040635408000. Its totient is φ = 2566273105920.

The previous prime is 7997520092777. The next prime is 7997520092873. The reversal of 7997520092800 is 82900257997.

It is a super-2 number, since 2×7997520092800² (a number of 27 digits) contains 22 as substring.

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, 68104536 + ... + 68221864.

It is an arithmetic number, because the mean of its divisors is an integer number (62605821375).

Almost surely, 2^{7997520092800} is an apocalyptic number.

7997520092800 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 7997520092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020317704000).

7997520092800 is an abundant number, since it is smaller than the sum of its proper divisors (16043115315200).

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

7997520092800 is a wasteful number, since it uses less digits than its factorization.

7997520092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117556 (or 117539 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The spelling of 7997520092800 in words is "seven trillion, nine hundred ninety-seven billion, five hundred twenty million, ninety-two thousand, eight hundred".