765977472 has 160 divisors (see below), whose sum is σ = 2455317480. Its totient is φ = 235643904.

The previous prime is 765977461. The next prime is 765977473. The reversal of 765977472 is 274779567.

765977472 is a `hidden beast` number, since 7 + 6 + 597 + 7 + 47 + 2 = 666.

765977472 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 2×765977472² = 1173442975223021568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765977473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131943 + ... + 137625.

Almost surely, 2^765977472 is an apocalyptic number.

765977472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227658740).

765977472 is an abundant number, since it is smaller than the sum of its proper divisors (1689340008).

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

765977472 is a wasteful number, since it uses less digits than its factorization.

765977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5701 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The square root of 765977472 is about 27676.2980183405. The cubic root of 765977472 is about 914.9667926675.

The spelling of 765977472 in words is "seven hundred sixty-five million, nine hundred seventy-seven thousand, four hundred seventy-two".