7858672000 has 64 divisors (see below), whose sum is σ = 19538663040. Its totient is φ = 3143462400.

The previous prime is 7858671979. The next prime is 7858672009. The reversal of 7858672000 is 2768587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7858672009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229584 + ... + 261583.

It is an arithmetic number, because the mean of its divisors is an integer number (305291610).

Almost surely, 2^7858672000 is an apocalyptic number.

It is an amenable number.

7858672000 is an abundant number, since it is smaller than the sum of its proper divisors (11679991040).

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

7858672000 is an equidigital number, since it uses as much as digits as its factorization.

7858672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491196 (or 491174 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 7858672000 is about 88649.1511521684. The cubic root of 7858672000 is about 1988.1526250957.

The spelling of 7858672000 in words is "seven billion, eight hundred fifty-eight million, six hundred seventy-two thousand".