82277480 has 32 divisors (see below), whose sum is σ = 185479200. Its totient is φ = 32847936.

The previous prime is 82277477. The next prime is 82277483. The reversal of 82277480 is 8477228.

It is an interprime number because it is at equal distance from previous prime (82277477) and next prime (82277483).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82277483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23099 + ... + 26421.

It is an arithmetic number, because the mean of its divisors is an integer number (5796225).

Almost surely, 2^82277480 is an apocalyptic number.

It is an amenable number.

82277480 is an abundant number, since it is smaller than the sum of its proper divisors (103201720).

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

82277480 is a wasteful number, since it uses less digits than its factorization.

82277480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 82277480 is about 9070.6934685282. The cubic root of 82277480 is about 434.9376402439.

The spelling of 82277480 in words is "eighty-two million, two hundred seventy-seven thousand, four hundred eighty".