811952960 has 112 divisors (see below), whose sum is σ = 2379732096. Its totient is φ = 256960512.

The previous prime is 811952959. The next prime is 811953013. The reversal of 811952960 is 69259118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15179 + ... + 43061.

It is an arithmetic number, because the mean of its divisors is an integer number (21247608).

Almost surely, 2^811952960 is an apocalyptic number.

811952960 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 811952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189866048).

811952960 is an abundant number, since it is smaller than the sum of its proper divisors (1567779136).

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

811952960 is a wasteful number, since it uses less digits than its factorization.

811952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27920 (or 27910 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 811952960 is about 28494.7882954059. The cubic root of 811952960 is about 932.9183234283.

The spelling of 811952960 in words is "eight hundred eleven million, nine hundred fifty-two thousand, nine hundred sixty".