766967160960 has 2304 divisors, whose sum is σ = 3742288542720. Its totient is φ = 142132838400.

The previous prime is 766967160937. The next prime is 766967160989. The reversal of 766967160960 is 69061769667.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1251169614 + ... + 1251170226.

It is an arithmetic number, because the mean of its divisors is an integer number (1624257180).

Almost surely, 2^766967160960 is an apocalyptic number.

766967160960 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 766967160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871144271360).

766967160960 is an abundant number, since it is smaller than the sum of its proper divisors (2975321381760).

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

766967160960 is a wasteful number, since it uses less digits than its factorization.

766967160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 766967160960 in words is "seven hundred sixty-six billion, nine hundred sixty-seven million, one hundred sixty thousand, nine hundred sixty".