769743072 has 72 divisors (see below), whose sum is σ = 2501671536. Its totient is φ = 219926016.

The previous prime is 769743053. The next prime is 769743083. The reversal of 769743072 is 270347967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188893 + ... + 192924.

It is an arithmetic number, because the mean of its divisors is an integer number (34745438).

Almost surely, 2^769743072 is an apocalyptic number.

769743072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

769743072 is an abundant number, since it is smaller than the sum of its proper divisors (1731928464).

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

769743072 is a wasteful number, since it uses less digits than its factorization.

769743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381840 (or 381829 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 769743072 is about 27744.2439435642. The cubic root of 769743072 is about 916.4636897727.

The spelling of 769743072 in words is "seven hundred sixty-nine million, seven hundred forty-three thousand, seventy-two".