785842560 has 384 divisors, whose sum is σ = 2922716160. Its totient is φ = 201553920.

The previous prime is 785842559. The next prime is 785842571. The reversal of 785842560 is 65248587.

785842560 is a `hidden beast` number, since 7 + 8 + 5 + 84 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4821039 + ... + 4821201.

It is an arithmetic number, because the mean of its divisors is an integer number (7611240).

Almost surely, 2^785842560 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 785842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461358080).

785842560 is an abundant number, since it is smaller than the sum of its proper divisors (2136873600).

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

785842560 is a wasteful number, since it uses less digits than its factorization.

785842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 785842560 is about 28032.8835477195. The cubic root of 785842560 is about 922.8090576609.

The spelling of 785842560 in words is "seven hundred eighty-five million, eight hundred forty-two thousand, five hundred sixty".