83876083200 has 1800 divisors, whose sum is σ = 391954413312. Its totient is φ = 17557585920.

The previous prime is 83876083153. The next prime is 83876083219. The reversal of 83876083200 is 238067838.

83876083200 is a `hidden beast` number, since 8 + 3 + 8 + 7 + 608 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 660441537 + ... + 660441663.

Almost surely, 2^83876083200 is an apocalyptic number.

83876083200 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 83876083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195977206656).

83876083200 is an abundant number, since it is smaller than the sum of its proper divisors (308078330112).

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

83876083200 is a wasteful number, since it uses less digits than its factorization.

83876083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 83876083200 in words is "eighty-three billion, eight hundred seventy-six million, eighty-three thousand, two hundred".