790406346304 has 63 divisors (see below), whose sum is σ = 1655641091937. Its totient is φ = 374338994688.

The previous prime is 790406346281. The next prime is 790406346341. The reversal of 790406346304 is 403643604097.

The square root of 790406346304 is 889048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266925155904 + 523481190400 = 516648^2 + 723520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135132372 + ... + 135138220.

Almost surely, 2^790406346304 is an apocalyptic number.

790406346304 is the 889048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790406346304

790406346304 is an abundant number, since it is smaller than the sum of its proper divisors (865234745633).

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

790406346304 is an frugal number, since it uses more digits than its factorization.

790406346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 790406346304 in words is "seven hundred ninety billion, four hundred six million, three hundred forty-six thousand, three hundred four".