766980 has 36 divisors (see below), whose sum is σ = 2327052. Its totient is φ = 204480.

The previous prime is 766967. The next prime is 766999. The reversal of 766980 is 89667.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 213444 = 744^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1951 + ... + 2310.

2⁷⁶⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

766980 is an abundant number, since it is smaller than the sum of its proper divisors (1560072).

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

766980 is a wasteful number, since it uses less digits than its factorization.

766980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 766980 is about 875.7739434352. The cubic root of 766980 is about 91.5365794800.

It can be divided in two parts, 76 and 6980, that added together give a square (7056 = 84²).

The spelling of 766980 in words is "seven hundred sixty-six thousand, nine hundred eighty".