87278400 has 504 divisors, whose sum is σ = 368503200. Its totient is φ = 19353600.

The previous prime is 87278393. The next prime is 87278413. The reversal of 87278400 is 487278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3009586 + ... + 3009614.

Almost surely, 2^87278400 is an apocalyptic number.

87278400 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 87278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).

87278400 is an abundant number, since it is smaller than the sum of its proper divisors (281224800).

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

87278400 is a wasteful number, since it uses less digits than its factorization.

87278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87278400 is about 9342.2909395929. The cubic root of 87278400 is about 443.5769039886.

It can be divided in two parts, 87278 and 400, that added together give a palindrome (87678).

The spelling of 87278400 in words is "eighty-seven million, two hundred seventy-eight thousand, four hundred".