83073340800 has 672 divisors, whose sum is σ = 311045940000. Its totient is φ = 21912145920.

The previous prime is 83073340771. The next prime is 83073340807. The reversal of 83073340800 is 804337038.

83073340800 is a `hidden beast` number, since 8 + 307 + 3 + 340 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83073340807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347587081 + ... + 347587319.

Almost surely, 2^83073340800 is an apocalyptic number.

83073340800 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 83073340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155522970000).

83073340800 is an abundant number, since it is smaller than the sum of its proper divisors (227972599200).

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

83073340800 is a wasteful number, since it uses less digits than its factorization.

83073340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 83073340800 its reverse (804337038), we get a palindrome (83877677838).

The spelling of 83073340800 in words is "eighty-three billion, seventy-three million, three hundred forty thousand, eight hundred".