7960932000 has 432 divisors, whose sum is σ = 32873421672. Its totient is φ = 1819238400.

The previous prime is 7960931987. The next prime is 7960932053. The reversal of 7960932000 is 2390697.

It can be written as a sum of positive squares in 4 ways, for example, as 285069456 + 7675862544 = 16884^2 + 87612^2 .

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 71 ways as a sum of consecutive naturals, for example, 1761744 + ... + 1766256.

Almost surely, 2^7960932000 is an apocalyptic number.

7960932000 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 7960932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436710836).

7960932000 is an abundant number, since it is smaller than the sum of its proper divisors (24912489672).

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

7960932000 is a wasteful number, since it uses less digits than its factorization.

7960932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7960932000 is about 89224.0550524353. The cubic root of 7960932000 is about 1996.7390192253.

The spelling of 7960932000 in words is "seven billion, nine hundred sixty million, nine hundred thirty-two thousand".