80735067 has 48 divisors (see below), whose sum is σ = 139855872. Its totient is φ = 43908480.

The previous prime is 80735063. The next prime is 80735071. The reversal of 80735067 is 76053708.

80735067 is a `hidden beast` number, since 80 + 73 + 506 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (80735063) and next prime (80735071).

It is not a de Polignac number, because 80735067 - 2² = 80735063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80735063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130543 + ... + 131159.

It is an arithmetic number, because the mean of its divisors is an integer number (2913664).

Almost surely, 2^80735067 is an apocalyptic number.

80735067 is a deficient number, since it is larger than the sum of its proper divisors (59120805).

80735067 is a wasteful number, since it uses less digits than its factorization.

80735067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 80735067 is about 8985.2694450417. The cubic root of 80735067 is about 432.2026280656.

The spelling of 80735067 in words is "eighty million, seven hundred thirty-five thousand, sixty-seven".