813035880 has 320 divisors, whose sum is σ = 2999106000. Its totient is φ = 196632576.

The previous prime is 813035849. The next prime is 813035887. The reversal of 813035880 is 88530318.

It is a happy number.

813035880 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 8 ways, for example, as 607228164 + 205807716 = 24642^2 + 14346^2 .

It is a super-2 number, since 2×813035880² = 1322054684334748800, 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 (813035887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597066 + ... + 1597574.

Almost surely, 2^813035880 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 813035880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499553000).

813035880 is an abundant number, since it is smaller than the sum of its proper divisors (2186070120).

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

813035880 is a wasteful number, since it uses less digits than its factorization.

813035880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 813035880 is about 28513.7840350943. The cubic root of 813035880 is about 933.3328905894.

The spelling of 813035880 in words is "eight hundred thirteen million, thirty-five thousand, eight hundred eighty".