83873280 has 160 divisors (see below), whose sum is σ = 273803904. Its totient is φ = 21897216.

The previous prime is 83873269. The next prime is 83873287. The reversal of 83873280 is 8237838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83873287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514479 + ... + 514641.

Almost surely, 2^83873280 is an apocalyptic number.

83873280 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 83873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136901952).

83873280 is an abundant number, since it is smaller than the sum of its proper divisors (189930624).

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

83873280 is a wasteful number, since it uses less digits than its factorization.

83873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 83873280 is about 9158.2356379381. The cubic root of 83873280 is about 437.7315759049.

The spelling of 83873280 in words is "eighty-three million, eight hundred seventy-three thousand, two hundred eighty".