83022400 has 84 divisors (see below), whose sum is σ = 215117680. Its totient is φ = 31449600.

The previous prime is 83022391. The next prime is 83022409. The reversal of 83022400 is 422038.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83022391) and next prime (83022409).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (83022409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29035 + ... + 31765.

Almost surely, 2^83022400 is an apocalyptic number.

83022400 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 83022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107558840).

83022400 is an abundant number, since it is smaller than the sum of its proper divisors (132095280).

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

83022400 is a wasteful number, since it uses less digits than its factorization.

83022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 83022400 is about 9111.6628559226. The cubic root of 83022400 is about 436.2463047336.

Adding to 83022400 its reverse (422038), we get a palindrome (83444438).

The spelling of 83022400 in words is "eighty-three million, twenty-two thousand, four hundred".