872766720 has 432 divisors, whose sum is σ = 3520258560. Its totient is φ = 195526656.

The previous prime is 872766709. The next prime is 872766749. The reversal of 872766720 is 27667278.

It is a happy number.

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, 6370492 + ... + 6370628.

Almost surely, 2^872766720 is an apocalyptic number.

872766720 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 872766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760129280).

872766720 is an abundant number, since it is smaller than the sum of its proper divisors (2647491840).

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

872766720 is a wasteful number, since it uses less digits than its factorization.

872766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 872766720 is about 29542.6254757427. The cubic root of 872766720 is about 955.6511626791.

The spelling of 872766720 in words is "eight hundred seventy-two million, seven hundred sixty-six thousand, seven hundred twenty".