83381760 has 480 divisors, whose sum is σ = 367690752. Its totient is φ = 16957440.

The previous prime is 83381759. The next prime is 83381797. The reversal of 83381760 is 6718338.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774057 + ... + 1774103.

Almost surely, 2^83381760 is an apocalyptic number.

83381760 is a gapful number since it is divisible by the number (80) 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 83381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

83381760 is an abundant number, since it is smaller than the sum of its proper divisors (284308992).

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

83381760 is a wasteful number, since it uses less digits than its factorization.

83381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83381760 is about 9131.3613442903. The cubic root of 83381760 is about 436.8748251640.

The spelling of 83381760 in words is "eighty-three million, three hundred eighty-one thousand, seven hundred sixty".