811497960 has 512 divisors, whose sum is σ = 3483648000. Its totient is φ = 163316736.

The previous prime is 811497959. The next prime is 811497997. The reversal of 811497960 is 69794118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2260261 + ... + 2260619.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^811497960 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 811497960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

811497960 is an abundant number, since it is smaller than the sum of its proper divisors (2672150040).

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

811497960 is a wasteful number, since it uses less digits than its factorization.

811497960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 811497960 is about 28486.8032604573. The cubic root of 811497960 is about 932.7440287864.

The spelling of 811497960 in words is "eight hundred eleven million, four hundred ninety-seven thousand, nine hundred sixty".