766680072 has 32 divisors (see below), whose sum is σ = 1920996000. Its totient is φ = 254987264.

The previous prime is 766680053. The next prime is 766680073. The reversal of 766680072 is 270086667.

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

It is not an unprimeable number, because it can be changed into a prime (766680073) 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 7 ways as a sum of consecutive naturals, for example, 24798 + ... + 46349.

It is an arithmetic number, because the mean of its divisors is an integer number (60031125).

Almost surely, 2^766680072 is an apocalyptic number.

It is an amenable number.

766680072 is an abundant number, since it is smaller than the sum of its proper divisors (1154315928).

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

766680072 is a wasteful number, since it uses less digits than its factorization.

766680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71605 (or 71601 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 766680072 is about 27688.9882805421. The cubic root of 766680072 is about 915.2464611247.

The spelling of 766680072 in words is "seven hundred sixty-six million, six hundred eighty thousand, seventy-two".