85400880 has 160 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 21762048.

The previous prime is 85400851. The next prime is 85400891. The reversal of 85400880 is 8800458.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755704 + ... + 755816.

Almost surely, 2^85400880 is an apocalyptic number.

85400880 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 85400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

85400880 is an abundant number, since it is smaller than the sum of its proper divisors (191438544).

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

85400880 is a wasteful number, since it uses less digits than its factorization.

85400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 85400880 is about 9241.2596543978. The cubic root of 85400880 is about 440.3730995175.

The spelling of 85400880 in words is "eighty-five million, four hundred thousand, eight hundred eighty".