7811004960 has 720 divisors, whose sum is σ = 32192050968. Its totient is φ = 1776107520.

The previous prime is 7811004941. The next prime is 7811004961. The reversal of 7811004960 is 694001187.

It can be written as a sum of positive squares in 4 ways, for example, as 7798302864 + 12702096 = 88308^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7811004960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7811004961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658574 + ... + 26658866.

Almost surely, 2^7811004960 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 7811004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096025484).

7811004960 is an abundant number, since it is smaller than the sum of its proper divisors (24381046008).

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

7811004960 is a wasteful number, since it uses less digits than its factorization.

7811004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7811004960 is about 88379.8900202982. The cubic root of 7811004960 is about 1984.1247347219.

The spelling of 7811004960 in words is "seven billion, eight hundred eleven million, four thousand, nine hundred sixty".