82079400 has 192 divisors, whose sum is σ = 290606400. Its totient is φ = 18984960.

The previous prime is 82079399. The next prime is 82079401. The reversal of 82079400 is 497028.

It is an interprime number because it is at equal distance from previous prime (82079399) and next prime (82079401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82079401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 132291 + ... + 132909.

It is an arithmetic number, because the mean of its divisors is an integer number (1513575).

Almost surely, 2^82079400 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 82079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

82079400 is an abundant number, since it is smaller than the sum of its proper divisors (208527000).

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

82079400 is a wasteful number, since it uses less digits than its factorization.

82079400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82079400 is about 9059.7682089555. The cubic root of 82079400 is about 434.5883276629.

The spelling of 82079400 in words is "eighty-two million, seventy-nine thousand, four hundred".