71780760 has 96 divisors (see below), whose sum is σ = 238764240. Its totient is φ = 18692352.

The previous prime is 71780747. The next prime is 71780773. The reversal of 71780760 is 6708717.

It is an interprime number because it is at equal distance from previous prime (71780747) and next prime (71780773).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13162 + ... + 17798.

Almost surely, 2^71780760 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 71780760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119382120).

71780760 is an abundant number, since it is smaller than the sum of its proper divisors (166983480).

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

71780760 is a wasteful number, since it uses less digits than its factorization.

71780760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 71780760 is about 8472.3526838771. The cubic root of 71780760 is about 415.5940782769.

The spelling of 71780760 in words is "seventy-one million, seven hundred eighty thousand, seven hundred sixty".