872780 has 36 divisors (see below), whose sum is σ = 1959888. Its totient is φ = 326400.

The previous prime is 872761. The next prime is 872789. The reversal of 872780 is 87278.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (872789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5705 + ... + 5855.

2⁸⁷²⁷⁸⁰ 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 872780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979944).

872780 is an abundant number, since it is smaller than the sum of its proper divisors (1087108).

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

872780 is a wasteful number, since it uses less digits than its factorization.

872780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 872780 is about 934.2269531543. The cubic root of 872780 is about 95.5656009710.

It can be divided in two parts, 87 and 2780, that multiplied together give a triangular number (241860 = T₆₉₅).

The spelling of 872780 in words is "eight hundred seventy-two thousand, seven hundred eighty".