790461200 has 60 divisors (see below), whose sum is σ = 1903229748. Its totient is φ = 315494400.

The previous prime is 790461197. The next prime is 790461211. The reversal of 790461200 is 2164097.

It can be written as a sum of positive squares in 6 ways, for example, as 134281744 + 656179456 = 11588^2 + 25616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206504 + ... + 210296.

Almost surely, 2^790461200 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 790461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951614874).

790461200 is an abundant number, since it is smaller than the sum of its proper divisors (1112768548).

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

790461200 is a wasteful number, since it uses less digits than its factorization.

790461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 790461200 is about 28115.1418278479. The cubic root of 790461200 is about 924.6134055298.

The spelling of 790461200 in words is "seven hundred ninety million, four hundred sixty-one thousand, two hundred".