7876135960 has 128 divisors (see below), whose sum is σ = 22138583040. Its totient is φ = 2449958400.

The previous prime is 7876135933. The next prime is 7876135999. The reversal of 7876135960 is 695316787.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7876135898 and 7876135907.

It is a congruent number.

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, 1713265 + ... + 1717855.

It is an arithmetic number, because the mean of its divisors is an integer number (172957680).

Almost surely, 2^7876135960 is an apocalyptic number.

7876135960 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 7876135960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069291520).

7876135960 is an abundant number, since it is smaller than the sum of its proper divisors (14262447080).

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

7876135960 is a wasteful number, since it uses less digits than its factorization.

7876135960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 7876135960 is about 88747.5969252126. The cubic root of 7876135960 is about 1989.6242617790.

The spelling of 7876135960 in words is "seven billion, eight hundred seventy-six million, one hundred thirty-five thousand, nine hundred sixty".