864761000 has 64 divisors (see below), whose sum is σ = 2031644160. Its totient is φ = 344520000.

The previous prime is 864760997. The next prime is 864761099. The reversal of 864761000 is 167468.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269405 + ... + 272595.

It is an arithmetic number, because the mean of its divisors is an integer number (31744440).

Almost surely, 2^864761000 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 864761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015822080).

864761000 is an abundant number, since it is smaller than the sum of its proper divisors (1166883160).

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

864761000 is a wasteful number, since it uses less digits than its factorization.

864761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 864761000 is about 29406.8189371105. The cubic root of 864761000 is about 952.7201815760.

The spelling of 864761000 in words is "eight hundred sixty-four million, seven hundred sixty-one thousand".