85477800 has 96 divisors (see below), whose sum is σ = 267616800. Its totient is φ = 22567680.

The previous prime is 85477787. The next prime is 85477801. The reversal of 85477800 is 877458.

It is not an unprimeable number, because it can be changed into a prime (85477801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64747 + ... + 66053.

It is an arithmetic number, because the mean of its divisors is an integer number (2787675).

Almost surely, 2^85477800 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 85477800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133808400).

85477800 is an abundant number, since it is smaller than the sum of its proper divisors (182139000).

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

85477800 is a wasteful number, since it uses less digits than its factorization.

85477800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 85477800 is about 9245.4204880038. The cubic root of 85477800 is about 440.5052735420.

The spelling of 85477800 in words is "eighty-five million, four hundred seventy-seven thousand, eight hundred".