85778880 has 112 divisors (see below), whose sum is σ = 297143424. Its totient is φ = 20792320.

The previous prime is 85778879. The next prime is 85778887. The reversal of 85778880 is 8887758.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85778887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6499 + ... + 14621.

Almost surely, 2^85778880 is an apocalyptic number.

85778880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148571712).

85778880 is an abundant number, since it is smaller than the sum of its proper divisors (211364544).

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

85778880 is a wasteful number, since it uses less digits than its factorization.

85778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The square root of 85778880 is about 9261.6888308774. The cubic root of 85778880 is about 441.0218673758.

The spelling of 85778880 in words is "eighty-five million, seven hundred seventy-eight thousand, eight hundred eighty".