765742408704 has 792 divisors, whose sum is σ = 2873088761088. Its totient is φ = 201912238080.

The previous prime is 765742408681. The next prime is 765742408747. The reversal of 765742408704 is 407804247567.

It is a super-2 number, since 2×765742408704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158503569 + ... + 158508399.

Almost surely, 2^765742408704 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 765742408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436544380544).

765742408704 is an abundant number, since it is smaller than the sum of its proper divisors (2107346352384).

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

765742408704 is a wasteful number, since it uses less digits than its factorization.

765742408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 765742408704 in words is "seven hundred sixty-five billion, seven hundred forty-two million, four hundred eight thousand, seven hundred four".