7900152960 has 512 divisors, whose sum is σ = 30964654080. Its totient is φ = 1672151040.

The previous prime is 7900152959. The next prime is 7900152961. The reversal of 7900152960 is 692510097.

It is an interprime number because it is at equal distance from previous prime (7900152959) and next prime (7900152961).

It is not an unprimeable number, because it can be changed into a prime (7900152961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16221837 + ... + 16222323.

It is an arithmetic number, because the mean of its divisors is an integer number (60477840).

Almost surely, 2^7900152960 is an apocalyptic number.

7900152960 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 7900152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482327040).

7900152960 is an abundant number, since it is smaller than the sum of its proper divisors (23064501120).

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

7900152960 is a wasteful number, since it uses less digits than its factorization.

7900152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 7900152960 is about 88882.8046362175. The cubic root of 7900152960 is about 1991.6445552148.

The spelling of 7900152960 in words is "seven billion, nine hundred million, one hundred fifty-two thousand, nine hundred sixty".