71758080 has 108 divisors (see below), whose sum is σ = 248315340. Its totient is φ = 19132416.

The previous prime is 71758073. The next prime is 71758081. The reversal of 71758080 is 8085717.

71758080 is a `hidden beast` number, since 71 + 7 + 580 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 40755456 = 5568^2 + 6384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71758081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8406 + ... + 14634.

Almost surely, 2^71758080 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 71758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124157670).

71758080 is an abundant number, since it is smaller than the sum of its proper divisors (176557260).

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

71758080 is a wasteful number, since it uses less digits than its factorization.

71758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 71758080 is about 8471.0141069414. The cubic root of 71758080 is about 415.5503030063.

The spelling of 71758080 in words is "seventy-one million, seven hundred fifty-eight thousand, eighty".