753042944 has 80 divisors (see below), whose sum is σ = 1562423808. Its totient is φ = 362299392.

The previous prime is 753042943. The next prime is 753043001. The reversal of 753042944 is 449240357.

It is a junction number, because it is equal to n+sod(n) for n = 753042898 and 753042907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753042943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2405732 + ... + 2406044.

Almost surely, 2^753042944 is an apocalyptic number.

753042944 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781211904).

753042944 is an abundant number, since it is smaller than the sum of its proper divisors (809380864).

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

753042944 is a wasteful number, since it uses less digits than its factorization.

753042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 753042944 is about 27441.6279400476. The cubic root of 753042944 is about 909.7873930721.

The spelling of 753042944 in words is "seven hundred fifty-three million, forty-two thousand, nine hundred forty-four".