785306880 has 288 divisors, whose sum is σ = 2880568320. Its totient is φ = 202383360.

The previous prime is 785306869. The next prime is 785306923. The reversal of 785306880 is 88603587.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1070994 + ... + 1071726.

Almost surely, 2^785306880 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 785306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440284160).

785306880 is an abundant number, since it is smaller than the sum of its proper divisors (2095261440).

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

785306880 is a wasteful number, since it uses less digits than its factorization.

785306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 785306880 is about 28023.3274255574. The cubic root of 785306880 is about 922.5993283224.

The spelling of 785306880 in words is "seven hundred eighty-five million, three hundred six thousand, eight hundred eighty".