83307234763800 has 672 divisors, whose sum is σ = 294732495288000. Its totient is φ = 21886380921600.

The previous prime is 83307234763777. The next prime is 83307234763811. The reversal of 83307234763800 is 836743270338.

83307234763800 is a `hidden beast` number, since 8 + 3 + 307 + 234 + 76 + 38 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2654856511 + ... + 2654887889.

It is an arithmetic number, because the mean of its divisors is an integer number (438590022750).

Almost surely, 2^{83307234763800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83307234763800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147366247644000).

83307234763800 is an abundant number, since it is smaller than the sum of its proper divisors (211425260524200).

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

83307234763800 is a wasteful number, since it uses less digits than its factorization.

83307234763800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683 (or 31659 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 83307234763800 in words is "eighty-three trillion, three hundred seven billion, two hundred thirty-four million, seven hundred sixty-three thousand, eight hundred".