769835640 has 64 divisors (see below), whose sum is σ = 2639439360. Its totient is φ = 175962240.

The previous prime is 769835593. The next prime is 769835657. The reversal of 769835640 is 46538967.

769835640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×769835640² = 1185293825228419200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 769835640.

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, 457396 + ... + 459075.

It is an arithmetic number, because the mean of its divisors is an integer number (41241240).

Almost surely, 2^769835640 is an apocalyptic number.

769835640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

769835640 is an abundant number, since it is smaller than the sum of its proper divisors (1869603720).

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

769835640 is a wasteful number, since it uses less digits than its factorization.

769835640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916492 (or 916488 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 769835640 is about 27745.9121313393. The cubic root of 769835640 is about 916.5004257579.

The spelling of 769835640 in words is "seven hundred sixty-nine million, eight hundred thirty-five thousand, six hundred forty".