790883100 has 216 divisors, whose sum is σ = 2894481408. Its totient is φ = 176860800.

The previous prime is 790883089. The next prime is 790883101. The reversal of 790883100 is 1388097.

It is a super-2 number, since 2×790883100² = 1250992155731220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790883101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 294765 + ... + 297435.

Almost surely, 2^790883100 is an apocalyptic number.

790883100 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 790883100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447240704).

790883100 is an abundant number, since it is smaller than the sum of its proper divisors (2103598308).

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

790883100 is a wasteful number, since it uses less digits than its factorization.

790883100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 790883100 is about 28122.6439013120. The cubic root of 790883100 is about 924.7778770280. Note that the first 3 decimals are identical.

The spelling of 790883100 in words is "seven hundred ninety million, eight hundred eighty-three thousand, one hundred".