813650880 has 280 divisors, whose sum is σ = 3022256592. Its totient is φ = 185450496.

The previous prime is 813650843. The next prime is 813650891. The reversal of 813650880 is 88056318.

It is a happy number.

813650880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2304784 + ... + 2305136.

Almost surely, 2^813650880 is an apocalyptic number.

813650880 is a gapful number since it is divisible by the number (80) 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 813650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511128296).

813650880 is an abundant number, since it is smaller than the sum of its proper divisors (2208605712).

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

813650880 is an equidigital number, since it uses as much as digits as its factorization.

813650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 813650880 is about 28524.5662543710. The cubic root of 813650880 is about 933.5681631333.

The spelling of 813650880 in words is "eight hundred thirteen million, six hundred fifty thousand, eight hundred eighty".