82719840 has 144 divisors (see below), whose sum is σ = 303195312. Its totient is φ = 18902016.

The previous prime is 82719839. The next prime is 82719851. The reversal of 82719840 is 4891728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21762 + ... + 25278.

It is an arithmetic number, because the mean of its divisors is an integer number (2105523).

Almost surely, 2^82719840 is an apocalyptic number.

82719840 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 82719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151597656).

82719840 is an abundant number, since it is smaller than the sum of its proper divisors (220475472).

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

82719840 is a wasteful number, since it uses less digits than its factorization.

82719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 82719840 is about 9095.0448047275. The cubic root of 82719840 is about 435.7157196303.

The spelling of 82719840 in words is "eighty-two million, seven hundred nineteen thousand, eight hundred forty".