868772520 has 512 divisors, whose sum is σ = 3738009600. Its totient is φ = 174182400.

The previous prime is 868772519. The next prime is 868772533. The reversal of 868772520 is 25277868.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2577792 + ... + 2578128.

It is an arithmetic number, because the mean of its divisors is an integer number (7300800).

Almost surely, 2^868772520 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 868772520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869004800).

868772520 is an abundant number, since it is smaller than the sum of its proper divisors (2869237080).

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

868772520 is a wasteful number, since it uses less digits than its factorization.

868772520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 868772520 is about 29474.9473281972. The cubic root of 868772520 is about 954.1910933999.

The spelling of 868772520 in words is "eight hundred sixty-eight million, seven hundred seventy-two thousand, five hundred twenty".