866772310800 has 240 divisors, whose sum is σ = 3099418553088. Its totient is φ = 205239820800.

The previous prime is 866772310741. The next prime is 866772310853. The reversal of 866772310800 is 8013277668.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 866772310800.

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, 195942 + ... + 1331141.

Almost surely, 2^866772310800 is an apocalyptic number.

866772310800 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 866772310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549709276544).

866772310800 is an abundant number, since it is smaller than the sum of its proper divisors (2232646242288).

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

866772310800 is a wasteful number, since it uses less digits than its factorization.

866772310800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527158 (or 1527147 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 866772310800 in words is "eight hundred sixty-six billion, seven hundred seventy-two million, three hundred ten thousand, eight hundred".