71786880 has 288 divisors, whose sum is σ = 275118480. Its totient is φ = 17233920.

The previous prime is 71786879. The next prime is 71786881. The reversal of 71786880 is 8868717.

It is an interprime number because it is at equal distance from previous prime (71786879) and next prime (71786881).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×71786880² = 10306712280268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71786881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696909 + ... + 697011.

Almost surely, 2^71786880 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 71786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137559240).

71786880 is an abundant number, since it is smaller than the sum of its proper divisors (203331600).

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

71786880 is a wasteful number, since it uses less digits than its factorization.

71786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 71786880 is about 8472.7138509453. The cubic root of 71786880 is about 415.6058890717.

The spelling of 71786880 in words is "seventy-one million, seven hundred eighty-six thousand, eight hundred eighty".