82475078400 has 2592 divisors, whose sum is σ = 398554490880. Its totient is φ = 15925248000.

The previous prime is 82475078393. The next prime is 82475078437. The reversal of 82475078400 is 487057428.

It is a super-2 number, since 2×82475078400² (a number of 23 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 2660486385 + ... + 2660486415.

Almost surely, 2^82475078400 is an apocalyptic number.

82475078400 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 82475078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199277245440).

82475078400 is an abundant number, since it is smaller than the sum of its proper divisors (316079412480).

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

82475078400 is a wasteful number, since it uses less digits than its factorization.

82475078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 82475078400 in words is "eighty-two billion, four hundred seventy-five million, seventy-eight thousand, four hundred".