790517200 has 90 divisors (see below), whose sum is σ = 2087697542. Its totient is φ = 287443200.

The previous prime is 790517191. The next prime is 790517209. The reversal of 790517200 is 2715097.

It is an interprime number because it is at equal distance from previous prime (790517191) and next prime (790517209).

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 790509456 = 88^2 + 28116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790517209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40234 + ... + 56566.

Almost surely, 2^790517200 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 790517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043848771).

790517200 is an abundant number, since it is smaller than the sum of its proper divisors (1297180342).

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

790517200 is a wasteful number, since it uses less digits than its factorization.

790517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16373 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 790517200 is about 28116.1377148427. The cubic root of 790517200 is about 924.6352396726.

The spelling of 790517200 in words is "seven hundred ninety million, five hundred seventeen thousand, two hundred".