869693760 has 560 divisors, whose sum is σ = 3485235600. Its totient is φ = 204374016.

The previous prime is 869693719. The next prime is 869693761. The reversal of 869693760 is 67396968.

It is a happy number.

869693760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 144576576 + 725117184 = 12024^2 + 26928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 869693697 and 869693706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869693761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9771796 + ... + 9771884.

It is an arithmetic number, because the mean of its divisors is an integer number (6223635).

Almost surely, 2^869693760 is an apocalyptic number.

869693760 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 869693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742617800).

869693760 is an abundant number, since it is smaller than the sum of its proper divisors (2615541840).

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

869693760 is a wasteful number, since it uses less digits than its factorization.

869693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 869693760 is about 29490.5706964107. The cubic root of 869693760 is about 954.5282466657.

The spelling of 869693760 in words is "eight hundred sixty-nine million, six hundred ninety-three thousand, seven hundred sixty".