856769940 has 288 divisors, whose sum is σ = 2989486080. Its totient is φ = 202487040.

The previous prime is 856769933. The next prime is 856769951. The reversal of 856769940 is 49967658.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6746157 + ... + 6746283.

It is an arithmetic number, because the mean of its divisors is an integer number (10380160).

Almost surely, 2^856769940 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 856769940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494743040).

856769940 is an abundant number, since it is smaller than the sum of its proper divisors (2132716140).

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

856769940 is a wasteful number, since it uses less digits than its factorization.

856769940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 856769940 is about 29270.6327229187. The cubic root of 856769940 is about 949.7764718786.

The spelling of 856769940 in words is "eight hundred fifty-six million, seven hundred sixty-nine thousand, nine hundred forty".