71799680 has 64 divisors (see below), whose sum is σ = 175705200. Its totient is φ = 28041216.

The previous prime is 71799677. The next prime is 71799697. The reversal of 71799680 is 8699717.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26216 + ... + 28824.

Almost surely, 2^71799680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87852600).

71799680 is an abundant number, since it is smaller than the sum of its proper divisors (103905520).

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

71799680 is a wasteful number, since it uses less digits than its factorization.

71799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The square root of 71799680 is about 8473.4691832802. The cubic root of 71799680 is about 415.6305892176.

The spelling of 71799680 in words is "seventy-one million, seven hundred ninety-nine thousand, six hundred eighty".