790640640 has 288 divisors, whose sum is σ = 2867024160. Its totient is φ = 201129984.

The previous prime is 790640629. The next prime is 790640671. The reversal of 790640640 is 46046097.

790640640 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×790640640² = 1250225243239219200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 790640595 and 790640604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119494 + ... + 2119866.

It is an arithmetic number, because the mean of its divisors is an integer number (9954945).

Almost surely, 2^790640640 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 790640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433512080).

790640640 is an abundant number, since it is smaller than the sum of its proper divisors (2076383520).

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

790640640 is a wasteful number, since it uses less digits than its factorization.

790640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 790640640 is about 28118.3328097524. The cubic root of 790640640 is about 924.6833647202.

The spelling of 790640640 in words is "seven hundred ninety million, six hundred forty thousand, six hundred forty".