753268992 has 144 divisors (see below), whose sum is σ = 2329767552. Its totient is φ = 211599360.

The previous prime is 753268981. The next prime is 753269039. The reversal of 753268992 is 299862357.

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, 326788 + ... + 329084.

Almost surely, 2^753268992 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 753268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164883776).

753268992 is an abundant number, since it is smaller than the sum of its proper divisors (1576498560).

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

753268992 is a wasteful number, since it uses less digits than its factorization.

753268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2370 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 753268992 is about 27445.7463370920. The cubic root of 753268992 is about 909.8784171178.

It can be divided in two parts, 753 and 268992, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 753268992 in words is "seven hundred fifty-three million, two hundred sixty-eight thousand, nine hundred ninety-two".