83026382400 has 1344 divisors, whose sum is σ = 355577241600. Its totient is φ = 18662400000.

The previous prime is 83026382371. The next prime is 83026382447. The reversal of 83026382400 is 428362038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330782275 + ... + 330782525.

It is an arithmetic number, because the mean of its divisors is an integer number (264566400).

Almost surely, 2^83026382400 is an apocalyptic number.

83026382400 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 83026382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177788620800).

83026382400 is an abundant number, since it is smaller than the sum of its proper divisors (272550859200).

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

83026382400 is a wasteful number, since it uses less digits than its factorization.

83026382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 8302638 and 2400, that added together give a palindrome (8305038).

The spelling of 83026382400 in words is "eighty-three billion, twenty-six million, three hundred eighty-two thousand, four hundred".