793890000 has 150 divisors (see below), whose sum is σ = 2776662746. Its totient is φ = 211680000.

The previous prime is 793889981. The next prime is 793890007. The reversal of 793890000 is 98397.

793890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 259725456 + 534164544 = 16116^2 + 23112^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×793890000² = 1260522664200000000, 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 (793890007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85590 + ... + 94410.

Almost surely, 2^793890000 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 793890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388331373).

793890000 is an abundant number, since it is smaller than the sum of its proper divisors (1982772746).

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

793890000 is a wasteful number, since it uses less digits than its factorization.

793890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 793890000 is about 28176.0536626406. The cubic root of 793890000 is about 925.9483820727.

The spelling of 793890000 in words is "seven hundred ninety-three million, eight hundred ninety thousand".