82077906 has 16 divisors (see below), whose sum is σ = 164260800. Its totient is φ = 27341808.

The previous prime is 82077901. The next prime is 82077911. The reversal of 82077906 is 60977028.

It is an interprime number because it is at equal distance from previous prime (82077901) and next prime (82077911).

It is not an unprimeable number, because it can be changed into a prime (82077901) 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, 8880 + ... + 15588.

It is an arithmetic number, because the mean of its divisors is an integer number (10266300).

Almost surely, 2^82077906 is an apocalyptic number.

82077906 is an abundant number, since it is smaller than the sum of its proper divisors (82182894).

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

82077906 is a wasteful number, since it uses less digits than its factorization.

82077906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 82077906 is about 9059.6857561397. The cubic root of 82077906 is about 434.5856908710.

The spelling of 82077906 in words is "eighty-two million, seventy-seven thousand, nine hundred six".