752906880 has 512 divisors, whose sum is σ = 3093292800. Its totient is φ = 171048960.

The previous prime is 752906857. The next prime is 752906881. The reversal of 752906880 is 88609257.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752906881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231244 + ... + 3231476.

Almost surely, 2^752906880 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 752906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

752906880 is an abundant number, since it is smaller than the sum of its proper divisors (2340385920).

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

752906880 is a wasteful number, since it uses less digits than its factorization.

752906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 752906880 is about 27439.1486748405. The cubic root of 752906880 is about 909.7325946177.

The spelling of 752906880 in words is "seven hundred fifty-two million, nine hundred six thousand, eight hundred eighty".