790646220 has 432 divisors, whose sum is σ = 3069480960. Its totient is φ = 161201664.

The previous prime is 790646189. The next prime is 790646257. The reversal of 790646220 is 22646097.

It is a happy number.

790646220 is a `hidden beast` number, since 7 + 9 + 0 + 646 + 2 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10008141 + ... + 10008219.

It is an arithmetic number, because the mean of its divisors is an integer number (7105280).

Almost surely, 2^790646220 is an apocalyptic number.

790646220 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 790646220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

790646220 is an abundant number, since it is smaller than the sum of its proper divisors (2278834740).

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

790646220 is a wasteful number, since it uses less digits than its factorization.

790646220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

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

The square root of 790646220 is about 28118.4320330989. The cubic root of 790646220 is about 924.6855400536.

The spelling of 790646220 in words is "seven hundred ninety million, six hundred forty-six thousand, two hundred twenty".