82754460 has 120 divisors (see below), whose sum is σ = 271012896. Its totient is φ = 21098880.

The previous prime is 82754431. The next prime is 82754461. The reversal of 82754460 is 6445728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82754461) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 36150 + ... + 38370.

Almost surely, 2^82754460 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 82754460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135506448).

82754460 is an abundant number, since it is smaller than the sum of its proper divisors (188258436).

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

82754460 is a wasteful number, since it uses less digits than its factorization.

82754460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 82754460 is about 9096.9478397977. The cubic root of 82754460 is about 435.7764965625.

The spelling of 82754460 in words is "eighty-two million, seven hundred fifty-four thousand, four hundred sixty".