71783880 has 128 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 16220160.

The previous prime is 71783869. The next prime is 71783891. The reversal of 71783880 is 8838717.

It is an interprime number because it is at equal distance from previous prime (71783869) and next prime (71783891).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81040 + ... + 81920.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 2^71783880 is an apocalyptic number.

71783880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71783880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

71783880 is an abundant number, since it is smaller than the sum of its proper divisors (177151800).

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

71783880 is a wasteful number, since it uses less digits than its factorization.

71783880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 71783880 is about 8472.5368101886. The cubic root of 71783880 is about 415.6000995503.

The spelling of 71783880 in words is "seventy-one million, seven hundred eighty-three thousand, eight hundred eighty".