861269760 has 504 divisors, whose sum is σ = 3377947104. Its totient is φ = 209018880.

The previous prime is 861269749. The next prime is 861269809. The reversal of 861269760 is 67962168.

861269760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55 ways as a sum of consecutive naturals, for example, 12130525 + ... + 12130595.

It is an arithmetic number, because the mean of its divisors is an integer number (6702276).

Almost surely, 2^861269760 is an apocalyptic number.

861269760 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 861269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688973552).

861269760 is an abundant number, since it is smaller than the sum of its proper divisors (2516677344).

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

861269760 is an equidigital number, since it uses as much as digits as its factorization.

861269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 861269760 is about 29347.3978403538. The cubic root of 861269760 is about 951.4363351135.

The spelling of 861269760 in words is "eight hundred sixty-one million, two hundred sixty-nine thousand, seven hundred sixty".