790042000 has 80 divisors (see below), whose sum is σ = 2084045184. Its totient is φ = 287280000.

The previous prime is 790041979. The next prime is 790042027. The reversal of 790042000 is 240097.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4045 + ... + 39955.

Almost surely, 2^790042000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042022592).

790042000 is an abundant number, since it is smaller than the sum of its proper divisors (1294003184).

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

790042000 is a wasteful number, since it uses less digits than its factorization.

790042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35945 (or 35929 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 790042000 is about 28107.6857816505. The cubic root of 790042000 is about 924.4499286140.

Adding to 790042000 its reverse (240097), we get a palindrome (790282097).

The spelling of 790042000 in words is "seven hundred ninety million, forty-two thousand".