765513117040 has 80 divisors (see below), whose sum is σ = 2034670576320. Its totient is φ = 262385141760.

The previous prime is 765513117013. The next prime is 765513117071. The reversal of 765513117040 is 40711315567.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 765513116984 and 765513117002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740676 + ... + 2135644.

It is an arithmetic number, because the mean of its divisors is an integer number (25433382204).

Almost surely, 2^765513117040 is an apocalyptic number.

765513117040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

765513117040 is an abundant number, since it is smaller than the sum of its proper divisors (1269157459280).

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

765513117040 is a wasteful number, since it uses less digits than its factorization.

765513117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398450 (or 398444 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 765513117040 in words is "seven hundred sixty-five billion, five hundred thirteen million, one hundred seventeen thousand, forty".