7876296960 has 288 divisors, whose sum is σ = 29160456192. Its totient is φ = 1774510080.

The previous prime is 7876296947. The next prime is 7876297027. The reversal of 7876296960 is 696926787.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7876296894 and 7876296903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906417 + ... + 1910543.

It is an arithmetic number, because the mean of its divisors is an integer number (101251584).

Almost surely, 2^7876296960 is an apocalyptic number.

7876296960 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 7876296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580228096).

7876296960 is an abundant number, since it is smaller than the sum of its proper divisors (21284159232).

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

7876296960 is a wasteful number, since it uses less digits than its factorization.

7876296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The square root of 7876296960 is about 88748.5039873912. The cubic root of 7876296960 is about 1989.6378186520.

The spelling of 7876296960 in words is "seven billion, eight hundred seventy-six million, two hundred ninety-six thousand, nine hundred sixty".