790249824 has 576 divisors, whose sum is σ = 3121574400. Its totient is φ = 188863488.

The previous prime is 790249813. The next prime is 790249841. The reversal of 790249824 is 428942097.

It is a self number, because there is not a number n which added to its sum of digits gives 790249824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34358677 + ... + 34358699.

It is an arithmetic number, because the mean of its divisors is an integer number (5419400).

Almost surely, 2^790249824 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 790249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560787200).

790249824 is an abundant number, since it is smaller than the sum of its proper divisors (2331324576).

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

790249824 is a wasteful number, since it uses less digits than its factorization.

790249824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 790249824 is about 28111.3824633368. The cubic root of 790249824 is about 924.5309817049.

The spelling of 790249824 in words is "seven hundred ninety million, two hundred forty-nine thousand, eight hundred twenty-four".