753903952 has 80 divisors (see below), whose sum is σ = 1551686400. Its totient is φ = 354332160.

The previous prime is 753903901. The next prime is 753903961. The reversal of 753903952 is 259309357.

It is a junction number, because it is equal to n+sod(n) for n = 753903899 and 753903908.

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, 4801858 + ... + 4802014.

It is an arithmetic number, because the mean of its divisors is an integer number (19396080).

Almost surely, 2^753903952 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 753903952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775843200).

753903952 is an abundant number, since it is smaller than the sum of its proper divisors (797782448).

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

753903952 is a wasteful number, since it uses less digits than its factorization.

753903952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 43.

The square root of 753903952 is about 27457.3114488655. The cubic root of 753903952 is about 910.1340027274.

It can be divided in two parts, 753 and 903952, that multiplied together give a triangular number (680675856 = T₃₆₈₉₆).

The spelling of 753903952 in words is "seven hundred fifty-three million, nine hundred three thousand, nine hundred fifty-two".