872150400 has 288 divisors, whose sum is σ = 3396177720. Its totient is φ = 211353600.

The previous prime is 872150333. The next prime is 872150413. The reversal of 872150400 is 4051278.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315424 + ... + 318176.

Almost surely, 2^872150400 is an apocalyptic number.

872150400 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 872150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698088860).

872150400 is an abundant number, since it is smaller than the sum of its proper divisors (2524027320).

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

872150400 is a wasteful number, since it uses less digits than its factorization.

872150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 872150400 is about 29532.1926040042. The cubic root of 872150400 is about 955.4261595915.

The spelling of 872150400 in words is "eight hundred seventy-two million, one hundred fifty thousand, four hundred".