790020000 has 960 divisors, whose sum is σ = 3778790400. Its totient is φ = 155520000.

The previous prime is 790019999. The next prime is 790020047. The reversal of 790020000 is 20097.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41579991 + ... + 41580009.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 2^790020000 is an apocalyptic number.

790020000 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 790020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889395200).

790020000 is an abundant number, since it is smaller than the sum of its proper divisors (2988770400).

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

790020000 is a wasteful number, since it uses less digits than its factorization.

790020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 790020000 is about 28107.2944268921. The cubic root of 790020000 is about 924.4413475988.

Adding to 790020000 its reverse (20097), we get a palindrome (790040097).

The spelling of 790020000 in words is "seven hundred ninety million, twenty thousand".