82377540 has 384 divisors, whose sum is σ = 326860800. Its totient is φ = 16796160.

The previous prime is 82377539. The next prime is 82377557. The reversal of 82377540 is 4577328.

82377540 is a `hidden beast` number, since 82 + 37 + 7 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82377495 and 82377504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2226402 + ... + 2226438.

It is an arithmetic number, because the mean of its divisors is an integer number (851200).

Almost surely, 2^82377540 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 82377540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163430400).

82377540 is an abundant number, since it is smaller than the sum of its proper divisors (244483260).

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

82377540 is a wasteful number, since it uses less digits than its factorization.

82377540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 82377540 is about 9076.2073577018. The cubic root of 82377540 is about 435.1138821928.

The spelling of 82377540 in words is "eighty-two million, three hundred seventy-seven thousand, five hundred forty".