785580042240 has 1728 divisors, whose sum is σ = 3486883982400. Its totient is φ = 168552824832.

The previous prime is 785580042229. The next prime is 785580042277. The reversal of 785580042240 is 42240085587.

785580042240 is a `hidden beast` number, since 7 + 8 + 5 + 580 + 0 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2072770371 + ... + 2072770749.

It is an arithmetic number, because the mean of its divisors is an integer number (2017872675).

Almost surely, 2^785580042240 is an apocalyptic number.

785580042240 is a gapful number since it is divisible by the number (70) 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 785580042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743441991200).

785580042240 is an abundant number, since it is smaller than the sum of its proper divisors (2701303940160).

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

785580042240 is a wasteful number, since it uses less digits than its factorization.

785580042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 785580042240 in words is "seven hundred eighty-five billion, five hundred eighty million, forty-two thousand, two hundred forty".