82477480 has 64 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 30576384.

The previous prime is 82477441. The next prime is 82477481. The reversal of 82477480 is 8477428.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82477481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34566 + ... + 36874.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^82477480 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 82477480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

82477480 is an abundant number, since it is smaller than the sum of its proper divisors (117106520).

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

82477480 is a wasteful number, since it uses less digits than its factorization.

82477480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 82477480 is about 9081.7112924823. The cubic root of 82477480 is about 435.2897703772.

The spelling of 82477480 in words is "eighty-two million, four hundred seventy-seven thousand, four hundred eighty".