790652016 has 480 divisors, whose sum is σ = 3033139200. Its totient is φ = 193155840.

The previous prime is 790651973. The next prime is 790652017. The reversal of 790652016 is 610256097.

It is a super-2 number, since 2×790652016² = 1250261220809728512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790652017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5688075 + ... + 5688213.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2^790652016 is an apocalyptic number.

790652016 is a gapful number since it is divisible by the number (76) 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 790652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516569600).

790652016 is an abundant number, since it is smaller than the sum of its proper divisors (2242487184).

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

790652016 is a wasteful number, since it uses less digits than its factorization.

790652016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 790652016 is about 28118.5350969783. The cubic root of 790652016 is about 924.6877995826.

The spelling of 790652016 in words is "seven hundred ninety million, six hundred fifty-two thousand, sixteen".