83378937600 has 1728 divisors, whose sum is σ = 379089070080. Its totient is φ = 17736744960.

The previous prime is 83378937583. The next prime is 83378937601. The reversal of 83378937600 is 673987338.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83378937601) 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 191 ways as a sum of consecutive naturals, for example, 2253484782 + ... + 2253484818.

Almost surely, 2^83378937600 is an apocalyptic number.

83378937600 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 83378937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189544535040).

83378937600 is an abundant number, since it is smaller than the sum of its proper divisors (295710132480).

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

83378937600 is an equidigital number, since it uses as much as digits as its factorization.

83378937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 83378937600 in words is "eighty-three billion, three hundred seventy-eight million, nine hundred thirty-seven thousand, six hundred".