785672110080 has 1904 divisors, whose sum is σ = 3465760507776. Its totient is φ = 168170618880.

The previous prime is 785672110063. The next prime is 785672110163. The reversal of 785672110080 is 80011276587.

It is a happy number.

785672110080 is a `hidden beast` number, since 7 + 8 + 567 + 2 + 1 + 1 + 0 + 0 + 80 = 666.

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 111 ways as a sum of consecutive naturals, for example, 34159656949 + ... + 34159656971.

Almost surely, 2^785672110080 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 785672110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732880253888).

785672110080 is an abundant number, since it is smaller than the sum of its proper divisors (2680088397696).

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

785672110080 is an equidigital number, since it uses as much as digits as its factorization.

785672110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 785672110080 in words is "seven hundred eighty-five billion, six hundred seventy-two million, one hundred ten thousand, eighty".