869045760 has 480 divisors, whose sum is σ = 3431780352. Its totient is φ = 209018880.

The previous prime is 869045743. The next prime is 869045791. The reversal of 869045760 is 67540968.

It is a tau number, because it is divible by the number of its divisors (480).

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, 6842817 + ... + 6842943.

Almost surely, 2^869045760 is an apocalyptic number.

869045760 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 869045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

869045760 is an abundant number, since it is smaller than the sum of its proper divisors (2562734592).

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

869045760 is a wasteful number, since it uses less digits than its factorization.

869045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 869045760 is about 29479.5820865900. The cubic root of 869045760 is about 954.2911179900.

The spelling of 869045760 in words is "eight hundred sixty-nine million, forty-five thousand, seven hundred sixty".