83375308800 has 900 divisors, whose sum is σ = 353977968960. Its totient is φ = 19004129280.

The previous prime is 83375308789. The next prime is 83375308811. The reversal of 83375308800 is 880357338.

It is a happy number.

83375308800 is a `hidden beast` number, since 8 + 3 + 37 + 530 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83375308789) and next prime (83375308811).

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232243021 + ... + 232243379.

Almost surely, 2^83375308800 is an apocalyptic number.

83375308800 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 83375308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176988984480).

83375308800 is an abundant number, since it is smaller than the sum of its proper divisors (270602660160).

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

83375308800 is an equidigital number, since it uses as much as digits as its factorization.

83375308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 83375308800 in words is "eighty-three billion, three hundred seventy-five million, three hundred eight thousand, eight hundred".