83476800 has 504 divisors, whose sum is σ = 353763072. Its totient is φ = 18432000.

The previous prime is 83476781. The next prime is 83476837. The reversal of 83476800 is 867438.

It is a super-2 number, since 2×83476800² = 13936752276480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2692785 + ... + 2692815.

Almost surely, 2^83476800 is an apocalyptic number.

83476800 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 83476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

83476800 is an abundant number, since it is smaller than the sum of its proper divisors (270286272).

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

83476800 is a wasteful number, since it uses less digits than its factorization.

83476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83476800 is about 9136.5639055391. The cubic root of 83476800 is about 437.0407480152.

The spelling of 83476800 in words is "eighty-three million, four hundred seventy-six thousand, eight hundred".