752796720 has 640 divisors, whose sum is σ = 3149798400. Its totient is φ = 163233792.

The previous prime is 752796719. The next prime is 752796731. The reversal of 752796720 is 27697257.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9069799 + ... + 9069881.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^752796720 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 752796720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

752796720 is an abundant number, since it is smaller than the sum of its proper divisors (2397001680).

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

752796720 is a wasteful number, since it uses less digits than its factorization.

752796720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 752796720 is about 27437.1412505020. The cubic root of 752796720 is about 909.6882239112.

The spelling of 752796720 in words is "seven hundred fifty-two million, seven hundred ninety-six thousand, seven hundred twenty".