872426880 has 384 divisors, whose sum is σ = 3314787840. Its totient is φ = 210124800.

The previous prime is 872426873. The next prime is 872426909. The reversal of 872426880 is 88624278.

It is a happy number.

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

It is a super-2 number, since 2×872426880² = 1522257321893068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4567585 + ... + 4567775.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2^872426880 is an apocalyptic number.

872426880 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 872426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657393920).

872426880 is an abundant number, since it is smaller than the sum of its proper divisors (2442360960).

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

872426880 is a wasteful number, since it uses less digits than its factorization.

872426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 872426880 is about 29536.8732265282. The cubic root of 872426880 is about 955.5271086618.

The spelling of 872426880 in words is "eight hundred seventy-two million, four hundred twenty-six thousand, eight hundred eighty".