82379088 has 120 divisors (see below), whose sum is σ = 254064096. Its totient is φ = 24710400.

The previous prime is 82379083. The next prime is 82379137. The reversal of 82379088 is 88097328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82379081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207306 + ... + 207702.

Almost surely, 2^82379088 is an apocalyptic number.

82379088 is a gapful number since it is divisible by the number (88) 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 82379088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032048).

82379088 is an abundant number, since it is smaller than the sum of its proper divisors (171685008).

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

82379088 is a wasteful number, since it uses less digits than its factorization.

82379088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 82379088 is about 9076.2926352118. The cubic root of 82379088 is about 435.1166076609.

The spelling of 82379088 in words is "eighty-two million, three hundred seventy-nine thousand, eighty-eight".