742900944 has 80 divisors (see below), whose sum is σ = 1958902400. Its totient is φ = 242542080.

The previous prime is 742900937. The next prime is 742900967. The reversal of 742900944 is 449009247.

It is a happy number.

It is a super-2 number, since 2×742900944² = 1103803625192182272, which contains 22 as substring.

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, 1021509 + ... + 1022235.

It is an arithmetic number, because the mean of its divisors is an integer number (24486280).

Almost surely, 2^742900944 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 742900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979451200).

742900944 is an abundant number, since it is smaller than the sum of its proper divisors (1216001456).

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

742900944 is a wasteful number, since it uses less digits than its factorization.

742900944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 742900944 is about 27256.2092742186. The cubic root of 742900944 is about 905.6845726412.

The spelling of 742900944 in words is "seven hundred forty-two million, nine hundred thousand, nine hundred forty-four".