752449920 has 128 divisors (see below), whose sum is σ = 2539628640. Its totient is φ = 188841984.

The previous prime is 752449897. The next prime is 752449961. The reversal of 752449920 is 29944257.

It is a tau number, because it is divible by the number of its divisors (128).

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, 21114 + ... + 44166.

Almost surely, 2^752449920 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 752449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269814320).

752449920 is an abundant number, since it is smaller than the sum of its proper divisors (1787178720).

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

752449920 is a wasteful number, since it uses less digits than its factorization.

752449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 752449920 is about 27430.8206220667. The cubic root of 752449920 is about 909.5485100834.

The spelling of 752449920 in words is "seven hundred fifty-two million, four hundred forty-nine thousand, nine hundred twenty".