752090400 has 144 divisors (see below), whose sum is σ = 2720138400. Its totient is φ = 200551680.

The previous prime is 752090393. The next prime is 752090413. The reversal of 752090400 is 4090257.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191 + ... + 39009.

It is an arithmetic number, because the mean of its divisors is an integer number (18889850).

Almost surely, 2^752090400 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 752090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360069200).

752090400 is an abundant number, since it is smaller than the sum of its proper divisors (1968048000).

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

752090400 is a wasteful number, since it uses less digits than its factorization.

752090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34848 (or 34829 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 752090400 is about 27424.2666264752. The cubic root of 752090400 is about 909.4036264769.

The spelling of 752090400 in words is "seven hundred fifty-two million, ninety thousand, four hundred".