815677952 has 80 divisors (see below), whose sum is σ = 1781885952. Its totient is φ = 371343360.

The previous prime is 815677949. The next prime is 815677981. The reversal of 815677952 is 259776518.

It is a self number, because there is not a number n which added to its sum of digits gives 815677952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268313 + ... + 271335.

Almost surely, 2^815677952 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 815677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

815677952 is an abundant number, since it is smaller than the sum of its proper divisors (966208000).

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

815677952 is a wasteful number, since it uses less digits than its factorization.

815677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3073 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 50.

The square root of 815677952 is about 28560.0761903746. The cubic root of 815677952 is about 934.3427953345.

The spelling of 815677952 in words is "eight hundred fifteen million, six hundred seventy-seven thousand, nine hundred fifty-two".