83042400 has 144 divisors (see below), whose sum is σ = 308980224. Its totient is φ = 18977280.

The previous prime is 83042389. The next prime is 83042419. The reversal of 83042400 is 424038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14329 + ... + 19271.

It is an arithmetic number, because the mean of its divisors is an integer number (2145696).

Almost surely, 2^83042400 is an apocalyptic number.

83042400 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 83042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154490112).

83042400 is an abundant number, since it is smaller than the sum of its proper divisors (225937824).

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

83042400 is a wasteful number, since it uses less digits than its factorization.

83042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 83042400 is about 9112.7602843485. The cubic root of 83042400 is about 436.2813323309.

Adding to 83042400 its reverse (424038), we get a palindrome (83466438).

The spelling of 83042400 in words is "eighty-three million, forty-two thousand, four hundred".