77785088 has 48 divisors (see below), whose sum is σ = 163800000. Its totient is φ = 36827136.

The previous prime is 77785073. The next prime is 77785121. The reversal of 77785088 is 88058777.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37913 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (3412500).

Almost surely, 2^77785088 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 77785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900000).

77785088 is an abundant number, since it is smaller than the sum of its proper divisors (86014912).

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

77785088 is a wasteful number, since it uses less digits than its factorization.

77785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 50.

The square root of 77785088 is about 8819.5854777875. The cubic root of 77785088 is about 426.8730945554.

The spelling of 77785088 in words is "seventy-seven million, seven hundred eighty-five thousand, eighty-eight".