872209800 has 864 divisors, whose sum is σ = 3969388800. Its totient is φ = 169344000.

The previous prime is 872209787. The next prime is 872209813. The reversal of 872209800 is 8902278.

It is an interprime number because it is at equal distance from previous prime (872209787) and next prime (872209813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28135785 + ... + 28135815.

It is an arithmetic number, because the mean of its divisors is an integer number (4594200).

Almost surely, 2^872209800 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 872209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

872209800 is an abundant number, since it is smaller than the sum of its proper divisors (3097179000).

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

872209800 is a wasteful number, since it uses less digits than its factorization.

872209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 872209800 is about 29533.1982690666. The cubic root of 872209800 is about 955.4478496675.

It can be divided in two parts, 87220 and 9800, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 872209800 in words is "eight hundred seventy-two million, two hundred nine thousand, eight hundred".