85477680 has 120 divisors (see below), whose sum is σ = 297762192. Its totient is φ = 22788864.

The previous prime is 85477669. The next prime is 85477687. The reversal of 85477680 is 8677458.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85477687) 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, 17242 + ... + 21638.

Almost surely, 2^85477680 is an apocalyptic number.

85477680 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 85477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148881096).

85477680 is an abundant number, since it is smaller than the sum of its proper divisors (212284512).

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

85477680 is a wasteful number, since it uses less digits than its factorization.

85477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85477680 is about 9245.4139983021. The cubic root of 85477680 is about 440.5050674041.

The spelling of 85477680 in words is "eighty-five million, four hundred seventy-seven thousand, six hundred eighty".