7939800960 has 512 divisors, whose sum is σ = 32243097600. Its totient is φ = 1616412672.

The previous prime is 7939800943. The next prime is 7939800977. The reversal of 7939800960 is 690089397.

It is an interprime number because it is at equal distance from previous prime (7939800943) and next prime (7939800977).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5066097 + ... + 5067663.

It is an arithmetic number, because the mean of its divisors is an integer number (62974800).

Almost surely, 2^7939800960 is an apocalyptic number.

7939800960 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 7939800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121548800).

7939800960 is an abundant number, since it is smaller than the sum of its proper divisors (24303296640).

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

7939800960 is a wasteful number, since it uses less digits than its factorization.

7939800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 7939800960 is about 89105.5607692359. The cubic root of 7939800960 is about 1994.9707773937.

The spelling of 7939800960 in words is "seven billion, nine hundred thirty-nine million, eight hundred thousand, nine hundred sixty".