83411760 has 80 divisors (see below), whose sum is σ = 259554816. Its totient is φ = 22159104.

The previous prime is 83411747. The next prime is 83411773. The reversal of 83411760 is 6711438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83411747) and next prime (83411773).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87607 + ... + 88553.

Almost surely, 2^83411760 is an apocalyptic number.

83411760 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 83411760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129777408).

83411760 is an abundant number, since it is smaller than the sum of its proper divisors (176143056).

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

83411760 is a wasteful number, since it uses less digits than its factorization.

83411760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 83411760 is about 9133.0038870023. The cubic root of 83411760 is about 436.9272134131.

It can be divided in two parts, 8341 and 1760, that added together give a palindrome (10101).

The spelling of 83411760 in words is "eighty-three million, four hundred eleven thousand, seven hundred sixty".