872310784 has 48 divisors (see below), whose sum is σ = 1757492100. Its totient is φ = 432832512.

The previous prime is 872310781. The next prime is 872310787. The reversal of 872310784 is 487013278.

It is an interprime number because it is at equal distance from previous prime (872310781) and next prime (872310787).

It can be written as a sum of positive squares in 2 ways, for example, as 857318400 + 14992384 = 29280^2 + 3872^2 .

It is a super-2 number, since 2×872310784² = 1521852207765389312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872310781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279022 + ... + 282130.

Almost surely, 2^872310784 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 872310784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878746050).

872310784 is an abundant number, since it is smaller than the sum of its proper divisors (885181316).

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

872310784 is a wasteful number, since it uses less digits than its factorization.

872310784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 872310784 is about 29534.9078888017. The cubic root of 872310784 is about 955.4847219973.

The spelling of 872310784 in words is "eight hundred seventy-two million, three hundred ten thousand, seven hundred eighty-four".