766400179440 has 160 divisors (see below), whose sum is σ = 2715515053056. Its totient is φ = 175159848960.

The previous prime is 766400179421. The next prime is 766400179451. The reversal of 766400179440 is 44971004667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 766400179440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25640344 + ... + 25670216.

Almost surely, 2^766400179440 is an apocalyptic number.

766400179440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

766400179440 is an abundant number, since it is smaller than the sum of its proper divisors (1949114873616).

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

766400179440 is a wasteful number, since it uses less digits than its factorization.

766400179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45167 (or 45161 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 766400179440 in words is "seven hundred sixty-six billion, four hundred million, one hundred seventy-nine thousand, four hundred forty".