872478720 has 144 divisors (see below), whose sum is σ = 3024173880. Its totient is φ = 232636416.

The previous prime is 872478713. The next prime is 872478731. The reversal of 872478720 is 27874278.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×872478720² = 1522438233705676800, 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 11 ways as a sum of consecutive naturals, for example, 87427 + ... + 96893.

Almost surely, 2^872478720 is an apocalyptic number.

872478720 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 872478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512086940).

872478720 is an abundant number, since it is smaller than the sum of its proper divisors (2151695160).

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

872478720 is a wasteful number, since it uses less digits than its factorization.

872478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 872478720 is about 29537.7507606791. The cubic root of 872478720 is about 955.5460342380.

The spelling of 872478720 in words is "eight hundred seventy-two million, four hundred seventy-eight thousand, seven hundred twenty".