83046400 has 78 divisors (see below), whose sum is σ = 206183852. Its totient is φ = 33177600.

The previous prime is 83046347. The next prime is 83046407. The reversal of 83046400 is 464038.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (83046407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101995 + ... + 102805.

Almost surely, 2^83046400 is an apocalyptic number.

83046400 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 83046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103091926).

83046400 is an abundant number, since it is smaller than the sum of its proper divisors (123137452).

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

83046400 is an equidigital number, since it uses as much as digits as its factorization.

83046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 83046400 is about 9112.9797541748. The cubic root of 83046400 is about 436.2883371754.

The spelling of 83046400 in words is "eighty-three million, forty-six thousand, four hundred".