790352640 has 756 divisors, whose sum is σ = 3565610832. Its totient is φ = 164229120.

The previous prime is 790352639. The next prime is 790352687. The reversal of 790352640 is 46253097.

790352640 is a `hidden beast` number, since 7 + 9 + 0 + 3 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 = 790352595 and 790352604.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 71850235 + ... + 71850245.

Almost surely, 2^790352640 is an apocalyptic number.

790352640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782805416).

790352640 is an abundant number, since it is smaller than the sum of its proper divisors (2775258192).

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

790352640 is an equidigital number, since it uses as much as digits as its factorization.

790352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 790352640 is about 28113.2111292894. The cubic root of 790352640 is about 924.5710755471.

Multiplying 790352640 by its product of nonzero digits (45360), we get a square (35850395750400 = 5987520²).

790352640 divided by its product of nonzero digits (45360) gives a square (17424 = 132²).

The spelling of 790352640 in words is "seven hundred ninety million, three hundred fifty-two thousand, six hundred forty".