85577780 has 24 divisors (see below), whose sum is σ = 180260808. Its totient is φ = 34126848.

The previous prime is 85577749. The next prime is 85577801. The reversal of 85577780 is 8777558.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 85414564 = 404^2 + 9242^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 13088.

It is an arithmetic number, because the mean of its divisors is an integer number (7510867).

Almost surely, 2^85577780 is an apocalyptic number.

It is an amenable number.

85577780 is an abundant number, since it is smaller than the sum of its proper divisors (94683028).

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

85577780 is a wasteful number, since it uses less digits than its factorization.

85577780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13043 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 47.

The square root of 85577780 is about 9250.8259090743. The cubic root of 85577780 is about 440.6769538189.

The spelling of 85577780 in words is "eighty-five million, five hundred seventy-seven thousand, seven hundred eighty".