71680819 has 16 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 60217920.

The previous prime is 71680813. The next prime is 71680841. The reversal of 71680819 is 91808617.

It is not a de Polignac number, because 71680819 - 2¹⁵ = 71648051 is a prime.

It is a super-3 number, since 3×71680819³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71680813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115492 + ... + 116110.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^71680819 is an apocalyptic number.

71680819 is a deficient number, since it is larger than the sum of its proper divisors (11885261).

71680819 is a wasteful number, since it uses less digits than its factorization.

71680819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 71680819 is about 8466.4525629097. The cubic root of 71680819 is about 415.4011102301.

The spelling of 71680819 in words is "seventy-one million, six hundred eighty thousand, eight hundred nineteen".