83274400 has 72 divisors (see below), whose sum is σ = 221798304. Its totient is φ = 30278400.

The previous prime is 83274379. The next prime is 83274407. The reversal of 83274400 is 447238.

It is not an unprimeable number, because it can be changed into a prime (83274407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4069 + ... + 13531.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 2^83274400 is an apocalyptic number.

83274400 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 83274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152).

83274400 is an abundant number, since it is smaller than the sum of its proper divisors (138523904).

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

83274400 is a wasteful number, since it uses less digits than its factorization.

83274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 83274400 is about 9125.4808092505. The cubic root of 83274400 is about 436.6872420686.

The spelling of 83274400 in words is "eighty-three million, two hundred seventy-four thousand, four hundred".