790541664 has 288 divisors, whose sum is σ = 2522378880. Its totient is φ = 214272000.

The previous prime is 790541651. The next prime is 790541669. The reversal of 790541664 is 466145097.

It is a super-2 number, since 2×790541664² = 1249912245039777792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790541669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19281484 + ... + 19281524.

It is an arithmetic number, because the mean of its divisors is an integer number (8758260).

Almost surely, 2^790541664 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 790541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261189440).

790541664 is an abundant number, since it is smaller than the sum of its proper divisors (1731837216).

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

790541664 is a wasteful number, since it uses less digits than its factorization.

790541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 790541664 is about 28116.5727641190. The cubic root of 790541664 is about 924.6447777502.

The spelling of 790541664 in words is "seven hundred ninety million, five hundred forty-one thousand, six hundred sixty-four".