84678400 has 108 divisors (see below), whose sum is σ = 213283224. Its totient is φ = 33280000.

The previous prime is 84678397. The next prime is 84678401. The reversal of 84678400 is 487648.

It is a self number, because there is not a number n which added to its sum of digits gives 84678400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84678401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646335 + ... + 646465.

Almost surely, 2^84678400 is an apocalyptic number.

84678400 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 84678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106641612).

84678400 is an abundant number, since it is smaller than the sum of its proper divisors (128604824).

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

84678400 is a wasteful number, since it uses less digits than its factorization.

84678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 84678400 is about 9202.0867198696. The cubic root of 84678400 is about 439.1277485845.

It can be divided in two parts, 84678 and 400, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 84678400 in words is "eighty-four million, six hundred seventy-eight thousand, four hundred".