766026960 has 160 divisors (see below), whose sum is σ = 2513196288. Its totient is φ = 192614400.

The previous prime is 766026929. The next prime is 766026973. The reversal of 766026960 is 69620667.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 402010 + ... + 403910.

Almost surely, 2^766026960 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 766026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256598144).

766026960 is an abundant number, since it is smaller than the sum of its proper divisors (1747169328).

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

766026960 is a wasteful number, since it uses less digits than its factorization.

766026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 766026960 is about 27677.1920541084. The cubic root of 766026960 is about 914.9864968595.

The spelling of 766026960 in words is "seven hundred sixty-six million, twenty-six thousand, nine hundred sixty".