77085000 has 160 divisors (see below), whose sum is σ = 268039200. Its totient is φ = 20520000.

The previous prime is 77084999. The next prime is 77085011. The reversal of 77085000 is 58077.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134715 + ... + 135285.

It is an arithmetic number, because the mean of its divisors is an integer number (1675245).

Almost surely, 2^77085000 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 77085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134019600).

77085000 is an abundant number, since it is smaller than the sum of its proper divisors (190954200).

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

77085000 is a wasteful number, since it uses less digits than its factorization.

77085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 77085000 is about 8779.8063759971. The cubic root of 77085000 is about 425.5885732182.

The spelling of 77085000 in words is "seventy-seven million, eighty-five thousand".