7760712960 has 864 divisors, whose sum is σ = 36105608448. Its totient is φ = 1486356480.

The previous prime is 7760712941. The next prime is 7760712961. The reversal of 7760712960 is 692170677.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7760712961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531184 + ... + 11531856.

Almost surely, 2^7760712960 is an apocalyptic number.

7760712960 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 7760712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052804224).

7760712960 is an abundant number, since it is smaller than the sum of its proper divisors (28344895488).

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

7760712960 is a wasteful number, since it uses less digits than its factorization.

7760712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 7760712960 is about 88094.9088199767. The cubic root of 7760712960 is about 1979.8572287627.

The spelling of 7760712960 in words is "seven billion, seven hundred sixty million, seven hundred twelve thousand, nine hundred sixty".