861797440 has 112 divisors (see below), whose sum is σ = 2468880000. Its totient is φ = 279908352.

The previous prime is 861797423. The next prime is 861797441. The reversal of 861797440 is 44797168.

861797440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (861797441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32436 + ... + 52684.

Almost surely, 2^861797440 is an apocalyptic number.

861797440 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 861797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234440000).

861797440 is an abundant number, since it is smaller than the sum of its proper divisors (1607082560).

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

861797440 is a wasteful number, since it uses less digits than its factorization.

861797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20292 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 861797440 is about 29356.3866986385. The cubic root of 861797440 is about 951.6306031006.

The spelling of 861797440 in words is "eight hundred sixty-one million, seven hundred ninety-seven thousand, four hundred forty".