790809149900 has 144 divisors (see below), whose sum is σ = 2156347318272. Its totient is φ = 244544832000.

The previous prime is 790809149849. The next prime is 790809149903. The reversal of 790809149900 is 9941908097.

It is a super-2 number, since 2×790809149900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (790809149903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573560 + ... + 1382240.

Almost surely, 2^790809149900 is an apocalyptic number.

790809149900 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 790809149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078173659136).

790809149900 is an abundant number, since it is smaller than the sum of its proper divisors (1365538168372).

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

790809149900 is a wasteful number, since it uses less digits than its factorization.

790809149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808840 (or 808833 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 56.

The spelling of 790809149900 in words is "seven hundred ninety billion, eight hundred nine million, one hundred forty-nine thousand, nine hundred".