811759872 has 432 divisors, whose sum is σ = 2868892992. Its totient is φ = 201277440.

The previous prime is 811759799. The next prime is 811759903. The reversal of 811759872 is 278957118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15316198 + ... + 15316250.

It is an arithmetic number, because the mean of its divisors is an integer number (6640956).

Almost surely, 2^811759872 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 811759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434446496).

811759872 is an abundant number, since it is smaller than the sum of its proper divisors (2057133120).

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

811759872 is a wasteful number, since it uses less digits than its factorization.

811759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its digits is 282240, while the sum is 48.

The square root of 811759872 is about 28491.3999656037. The cubic root of 811759872 is about 932.8443661002.

The spelling of 811759872 in words is "eight hundred eleven million, seven hundred fifty-nine thousand, eight hundred seventy-two".