82377984 has 144 divisors (see below), whose sum is σ = 243579392. Its totient is φ = 24551424.

The previous prime is 82377959. The next prime is 82377989. The reversal of 82377984 is 48977328.

It is a super-2 number, since 2×82377984² = 13572264495808512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377989) 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, 369297 + ... + 369519.

Almost surely, 2^82377984 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 82377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121789696).

82377984 is an abundant number, since it is smaller than the sum of its proper divisors (161201408).

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

82377984 is a wasteful number, since it uses less digits than its factorization.

82377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 82377984 is about 9076.2318172246. The cubic root of 82377984 is about 435.1146639197.

The spelling of 82377984 in words is "eighty-two million, three hundred seventy-seven thousand, nine hundred eighty-four".