71080000 has 70 divisors (see below), whose sum is σ = 176354486. Its totient is φ = 28416000.

The previous prime is 71079949. The next prime is 71080001. The reversal of 71080000 is 8017.

It can be written as a sum of positive squares in 5 ways, for example, as 27625536 + 43454464 = 5256^2 + 6592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (71080001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39112 + ... + 40888.

Almost surely, 2^71080000 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 71080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88177243).

71080000 is an abundant number, since it is smaller than the sum of its proper divisors (105274486).

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

71080000 is an equidigital number, since it uses as much as digits as its factorization.

71080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 71080000 is about 8430.8955633432. The cubic root of 71080000 is about 414.2372402375.

Adding to 71080000 its reverse (8017), we get a palindrome (71088017).

The spelling of 71080000 in words is "seventy-one million, eighty thousand".