84722400 has 324 divisors, whose sum is σ = 349961976. Its totient is φ = 18892800.

The previous prime is 84722377. The next prime is 84722401. The reversal of 84722400 is 422748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84722401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2066380 + ... + 2066420.

Almost surely, 2^84722400 is an apocalyptic number.

84722400 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 84722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174980988).

84722400 is an abundant number, since it is smaller than the sum of its proper divisors (265239576).

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

84722400 is a wasteful number, since it uses less digits than its factorization.

84722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 84722400 is about 9204.4771714639. The cubic root of 84722400 is about 439.2037942479.

Multiplying 84722400 by its product of nonzero digits (3584), we get a square (303645081600 = 551040²).

The spelling of 84722400 in words is "eighty-four million, seven hundred twenty-two thousand, four hundred".