872437800 has 192 divisors, whose sum is σ = 2992308480. Its totient is φ = 208880640.

The previous prime is 872437703. The next prime is 872437831. The reversal of 872437800 is 8734278.

It is a super-2 number, since 2×872437800² = 1522295429737680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 287089 + ... + 290111.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^872437800 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 872437800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

872437800 is an abundant number, since it is smaller than the sum of its proper divisors (2119870680).

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

872437800 is a wasteful number, since it uses less digits than its factorization.

872437800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 872437800 is about 29537.0580796395. The cubic root of 872437800 is about 955.5310953617.

The spelling of 872437800 in words is "eight hundred seventy-two million, four hundred thirty-seven thousand, eight hundred".