82457760 has 384 divisors, whose sum is σ = 341397504. Its totient is φ = 16220160.

The previous prime is 82457743. The next prime is 82457779. The reversal of 82457760 is 6775428.

82457760 = T₅₅ + T₅₆ + ... + T₇₉₀.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 970 × 966 × 88.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850032 + ... + 850128.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^82457760 is an apocalyptic number.

82457760 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 82457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

82457760 is an abundant number, since it is smaller than the sum of its proper divisors (258939744).

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

82457760 is a wasteful number, since it uses less digits than its factorization.

82457760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 82457760 is about 9080.6255291142. The cubic root of 82457760 is about 435.2550756602.

The spelling of 82457760 in words is "eighty-two million, four hundred fifty-seven thousand, seven hundred sixty".