82407720 has 32 divisors (see below), whose sum is σ = 247223520. Its totient is φ = 21975360.

The previous prime is 82407713. The next prime is 82407727. The reversal of 82407720 is 2770428.

It is an interprime number because it is at equal distance from previous prime (82407713) and next prime (82407727).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82407727) 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, 343246 + ... + 343485.

It is an arithmetic number, because the mean of its divisors is an integer number (7725735).

Almost surely, 2^82407720 is an apocalyptic number.

It is an amenable number.

82407720 is an abundant number, since it is smaller than the sum of its proper divisors (164815800).

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

82407720 is a wasteful number, since it uses less digits than its factorization.

82407720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686745 (or 686741 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 82407720 is about 9077.8697941753. The cubic root of 82407720 is about 435.1670121019.

The spelling of 82407720 in words is "eighty-two million, four hundred seven thousand, seven hundred twenty".