82078920 has 480 divisors, whose sum is σ = 357540480. Its totient is φ = 16692480.

The previous prime is 82078891. The next prime is 82078933. The reversal of 82078920 is 2987028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1746337 + ... + 1746383.

It is an arithmetic number, because the mean of its divisors is an integer number (744876).

Almost surely, 2^82078920 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 82078920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240).

82078920 is an abundant number, since it is smaller than the sum of its proper divisors (275461560).

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

82078920 is a wasteful number, since it uses less digits than its factorization.

82078920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 82078920 is about 9059.7417181728. The cubic root of 82078920 is about 434.5874805043.

The spelling of 82078920 in words is "eighty-two million, seventy-eight thousand, nine hundred twenty".