790944 has 96 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 203520.

The previous prime is 790927. The next prime is 790957. The reversal of 790944 is 449097.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×790944² = 1251184822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 790944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7339 + ... + 7445.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁷⁹⁰⁹⁴⁴ 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 790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

790944 is an abundant number, since it is smaller than the sum of its proper divisors (1821792).

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

790944 is a wasteful number, since it uses less digits than its factorization.

790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 790944 is about 889.3503246753. The cubic root of 790944 is about 92.4801613164.

It can be divided in two parts, 7 and 90944, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 790944 in words is "seven hundred ninety thousand, nine hundred forty-four".