872282920 has 96 divisors (see below), whose sum is σ = 2120768280. Its totient is φ = 322744320.

The previous prime is 872282899. The next prime is 872282921. The reversal of 872282920 is 29282278.

It can be written as a sum of positive squares in 12 ways, for example, as 164403684 + 707879236 = 12822^2 + 26606^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (872282921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704542 + ... + 705778.

Almost surely, 2^872282920 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 872282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060384140).

872282920 is an abundant number, since it is smaller than the sum of its proper divisors (1248485360).

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

872282920 is a wasteful number, since it uses less digits than its factorization.

872282920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 872282920 is about 29534.4361720348. The cubic root of 872282920 is about 955.4745482877.

The spelling of 872282920 in words is "eight hundred seventy-two million, two hundred eighty-two thousand, nine hundred twenty".