84758400 has 288 divisors, whose sum is σ = 316516200. Its totient is φ = 22394880.

The previous prime is 84758393. The next prime is 84758407. The reversal of 84758400 is 485748.

It is an interprime number because it is at equal distance from previous prime (84758393) and next prime (84758407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84758407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 777546 + ... + 777654.

Almost surely, 2^84758400 is an apocalyptic number.

84758400 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 84758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158258100).

84758400 is an abundant number, since it is smaller than the sum of its proper divisors (231757800).

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

84758400 is a wasteful number, since it uses less digits than its factorization.

84758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84758400 is about 9206.4325338320. The cubic root of 84758400 is about 439.2659938457.

It can be divided in two parts, 84758 and 400, that added together give a palindrome (85158).

The spelling of 84758400 in words is "eighty-four million, seven hundred fifty-eight thousand, four hundred".