753796992 has 128 divisors (see below), whose sum is σ = 2226309120. Its totient is φ = 224409600.

The previous prime is 753796973. The next prime is 753797003. The reversal of 753796992 is 299697357.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152317 + ... + 157187.

It is an arithmetic number, because the mean of its divisors is an integer number (17393040).

Almost surely, 2^753796992 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 753796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113154560).

753796992 is an abundant number, since it is smaller than the sum of its proper divisors (1472512128).

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

753796992 is a wasteful number, since it uses less digits than its factorization.

753796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4920 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 57.

The square root of 753796992 is about 27455.3636289888. The cubic root of 753796992 is about 910.0909589874.

The spelling of 753796992 in words is "seven hundred fifty-three million, seven hundred ninety-six thousand, nine hundred ninety-two".