790910820 has 144 divisors (see below), whose sum is σ = 2760645888. Its totient is φ = 179539200.

The previous prime is 790910717. The next prime is 790910833. The reversal of 790910820 is 28019097.

It is a happy number.

790910820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188182 + ... + 192338.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152).

Almost surely, 2^790910820 is an apocalyptic number.

790910820 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 790910820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380322944).

790910820 is an abundant number, since it is smaller than the sum of its proper divisors (1969735068).

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

790910820 is a wasteful number, since it uses less digits than its factorization.

790910820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 790910820 is about 28123.1367382801. The cubic root of 790910820 is about 924.7886812136.

The spelling of 790910820 in words is "seven hundred ninety million, nine hundred ten thousand, eight hundred twenty".