83279760 has 80 divisors (see below), whose sum is σ = 259161984. Its totient is φ = 22122496.

The previous prime is 83279759. The next prime is 83279761. The reversal of 83279760 is 6797238.

It is an interprime number because it is at equal distance from previous prime (83279759) and next prime (83279761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83279761) 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, 84229 + ... + 85211.

Almost surely, 2^83279760 is an apocalyptic number.

83279760 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 83279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129580992).

83279760 is an abundant number, since it is smaller than the sum of its proper divisors (175882224).

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

83279760 is a wasteful number, since it uses less digits than its factorization.

83279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 83279760 is about 9125.7744876805. The cubic root of 83279760 is about 436.6966110680.

The spelling of 83279760 in words is "eighty-three million, two hundred seventy-nine thousand, seven hundred sixty".