790963200 has 198 divisors, whose sum is σ = 2832847394. Its totient is φ = 210862080.

The previous prime is 790963181. The next prime is 790963211. The reversal of 790963200 is 2369097.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 769729536 = 4608^2 + 27744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228684 + ... + 232116.

Almost surely, 2^790963200 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 790963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416423697).

790963200 is an abundant number, since it is smaller than the sum of its proper divisors (2041884194).

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

790963200 is a wasteful number, since it uses less digits than its factorization.

790963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 790963200 is about 28124.0679845573. The cubic root of 790963200 is about 924.8090962256.

The spelling of 790963200 in words is "seven hundred ninety million, nine hundred sixty-three thousand, two hundred".