872227440 has 600 divisors, whose sum is σ = 3663796752. Its totient is φ = 191600640.

The previous prime is 872227427. The next prime is 872227453. The reversal of 872227440 is 44722278.

It is an interprime number because it is at equal distance from previous prime (872227427) and next prime (872227453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 872227395 and 872227404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13018287 + ... + 13018353.

Almost surely, 2^872227440 is an apocalyptic number.

872227440 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 872227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831898376).

872227440 is an abundant number, since it is smaller than the sum of its proper divisors (2791569312).

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

872227440 is a wasteful number, since it uses less digits than its factorization.

872227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 872227440 is about 29533.4969145206. The cubic root of 872227440 is about 955.4542907732.

The spelling of 872227440 in words is "eight hundred seventy-two million, two hundred twenty-seven thousand, four hundred forty".