83679750 has 384 divisors, whose sum is σ = 307307520. Its totient is φ = 16632000.

The previous prime is 83679733. The next prime is 83679751. The reversal of 83679750 is 5797638.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 83679696 and 83679705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83679751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3638239 + ... + 3638261.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^83679750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83679750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

83679750 is an abundant number, since it is smaller than the sum of its proper divisors (223627770).

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

83679750 is a wasteful number, since it uses less digits than its factorization.

83679750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 83679750 is about 9147.6636361423. The cubic root of 83679750 is about 437.3946412962.

The spelling of 83679750 in words is "eighty-three million, six hundred seventy-nine thousand, seven hundred fifty".