872380800 has 384 divisors, whose sum is σ = 3339072000. Its totient is φ = 222013440.

The previous prime is 872380787. The next prime is 872380829. The reversal of 872380800 is 8083278.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×872380800² = 1522096520417280000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1986981 + ... + 1987419.

It is an arithmetic number, because the mean of its divisors is an integer number (8695500).

Almost surely, 2^872380800 is an apocalyptic number.

872380800 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 872380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669536000).

872380800 is an abundant number, since it is smaller than the sum of its proper divisors (2466691200).

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

872380800 is a wasteful number, since it uses less digits than its factorization.

872380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 872380800 is about 29536.0931742842. The cubic root of 872380800 is about 955.5102852980.

The spelling of 872380800 in words is "eight hundred seventy-two million, three hundred eighty thousand, eight hundred".