83210400 has 432 divisors, whose sum is σ = 363976704. Its totient is φ = 17418240.

The previous prime is 83210381. The next prime is 83210401. The reversal of 83210400 is 401238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (83210401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655137 + ... + 655263.

Almost surely, 2^83210400 is an apocalyptic number.

83210400 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 83210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

83210400 is an abundant number, since it is smaller than the sum of its proper divisors (280766304).

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

83210400 is a wasteful number, since it uses less digits than its factorization.

83210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83210400 is about 9121.9734706915. The cubic root of 83210400 is about 436.5753423480.

Adding to 83210400 its reverse (401238), we get a palindrome (83611638).

The spelling of 83210400 in words is "eighty-three million, two hundred ten thousand, four hundred".