7811490960 has 600 divisors, whose sum is σ = 33607759680. Its totient is φ = 1646521344.

The previous prime is 7811490959. The next prime is 7811490977. The reversal of 7811490960 is 690941187.

It is a happy number.

7811490960 is a `hidden beast` number, since 78 + 1 + 1 + 490 + 96 + 0 = 666.

It is a super-2 number, since 2×7811490960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7665331 + ... + 7666349.

Almost surely, 2^7811490960 is an apocalyptic number.

7811490960 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 7811490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803879840).

7811490960 is an abundant number, since it is smaller than the sum of its proper divisors (25796268720).

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

7811490960 is a wasteful number, since it uses less digits than its factorization.

7811490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7811490960 is about 88382.6394717877. The cubic root of 7811490960 is about 1984.1658845538.

The spelling of 7811490960 in words is "seven billion, eight hundred eleven million, four hundred ninety thousand, nine hundred sixty".