82355840 has 128 divisors (see below), whose sum is σ = 232657920. Its totient is φ = 27279360.

The previous prime is 82355783. The next prime is 82355843. The reversal of 82355840 is 4855328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 82355840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82355843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138584 + ... + 139176.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 2^82355840 is an apocalyptic number.

82355840 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 82355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960).

82355840 is an abundant number, since it is smaller than the sum of its proper divisors (150302080).

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

82355840 is a wasteful number, since it uses less digits than its factorization.

82355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 82355840 is about 9075.0118457223. The cubic root of 82355840 is about 435.0756727470.

The spelling of 82355840 in words is "eighty-two million, three hundred fifty-five thousand, eight hundred forty".