7870900992 has 144 divisors (see below), whose sum is σ = 22896986112. Its totient is φ = 2389524480.

The previous prime is 7870900981. The next prime is 7870901029. The reversal of 7870900992 is 2990090787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395013 + ... + 414459.

It is an arithmetic number, because the mean of its divisors is an integer number (159006848).

Almost surely, 2^7870900992 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 7870900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448493056).

7870900992 is an abundant number, since it is smaller than the sum of its proper divisors (15026085120).

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

7870900992 is a wasteful number, since it uses less digits than its factorization.

7870900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19514 (or 19500 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 7870900992 is about 88718.0984467093. The cubic root of 7870900992 is about 1989.1833548897.

The spelling of 7870900992 in words is "seven billion, eight hundred seventy million, nine hundred thousand, nine hundred ninety-two".