83476400 has 90 divisors (see below), whose sum is σ = 233350020. Its totient is φ = 28613760.

The previous prime is 83476391. The next prime is 83476411. The reversal of 83476400 is 467438.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17471 + ... + 21729.

It is an arithmetic number, because the mean of its divisors is an integer number (2592778).

Almost surely, 2^83476400 is an apocalyptic number.

83476400 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 83476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116675010).

83476400 is an abundant number, since it is smaller than the sum of its proper divisors (149873620).

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

83476400 is a wasteful number, since it uses less digits than its factorization.

83476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83476400 is about 9136.5420154454. The cubic root of 83476400 is about 437.0400499507.

The spelling of 83476400 in words is "eighty-three million, four hundred seventy-six thousand, four hundred".