83379373200 has 360 divisors, whose sum is σ = 308994865920. Its totient is φ = 20774476800.

The previous prime is 83379373123. The next prime is 83379373247. The reversal of 83379373200 is 237397338.

83379373200 is a `hidden beast` number, since 8 + 3 + 3 + 79 + 373 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3223519 + ... + 3249281.

It is an arithmetic number, because the mean of its divisors is an integer number (858319072).

Almost surely, 2^83379373200 is an apocalyptic number.

83379373200 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 83379373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154497432960).

83379373200 is an abundant number, since it is smaller than the sum of its proper divisors (225615492720).

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

83379373200 is a wasteful number, since it uses less digits than its factorization.

83379373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25847 (or 25833 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 83379373200 in words is "eighty-three billion, three hundred seventy-nine million, three hundred seventy-three thousand, two hundred".