786040560 has 240 divisors, whose sum is σ = 2820355200. Its totient is φ = 195502080.

The previous prime is 786040553. The next prime is 786040579. The reversal of 786040560 is 65040687.

It is a happy number.

786040560 is digitally balanced in base 2, 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 (240).

It is a super-2 number, since 2×786040560² = 1235719523930227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1823545 + ... + 1823975.

It is an arithmetic number, because the mean of its divisors is an integer number (11751480).

Almost surely, 2^786040560 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 786040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410177600).

786040560 is an abundant number, since it is smaller than the sum of its proper divisors (2034314640).

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

786040560 is a wasteful number, since it uses less digits than its factorization.

786040560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 786040560 is about 28036.4148920649. The cubic root of 786040560 is about 922.8865544604.

The spelling of 786040560 in words is "seven hundred eighty-six million, forty thousand, five hundred sixty".