7960752000 has 384 divisors, whose sum is σ = 29104639200. Its totient is φ = 2084659200.

The previous prime is 7960751987. The next prime is 7960752001. The reversal of 7960752000 is 2570697.

7960752000 is a `hidden beast` number, since 79 + 60 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7960752001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8495532 + ... + 8496468.

Almost surely, 2^7960752000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7960752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552319600).

7960752000 is an abundant number, since it is smaller than the sum of its proper divisors (21143887200).

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

7960752000 is a wasteful number, since it uses less digits than its factorization.

7960752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7960752000 is about 89223.0463501443. The cubic root of 7960752000 is about 1996.7239700773.

The spelling of 7960752000 in words is "seven billion, nine hundred sixty million, seven hundred fifty-two thousand".