85280400 has 90 divisors (see below), whose sum is σ = 295959170. Its totient is φ = 22740480.

The previous prime is 85280399. The next prime is 85280413. The reversal of 85280400 is 408258.

It can be written as a sum of positive squares in 3 ways, for example, as 345744 + 84934656 = 588^2 + 9216^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8245 + ... + 15444.

Almost surely, 2^85280400 is an apocalyptic number.

85280400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85280400 is an abundant number, since it is smaller than the sum of its proper divisors (210678770).

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

85280400 is a wasteful number, since it uses less digits than its factorization.

85280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23713 (or 23699 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85280400 is about 9234.7387618709. The cubic root of 85280400 is about 440.1659153901.

Adding to 85280400 its reverse (408258), we get a palindrome (85688658).

The spelling of 85280400 in words is "eighty-five million, two hundred eighty thousand, four hundred".