83779248 has 160 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 22201344.

The previous prime is 83779237. The next prime is 83779249. The reversal of 83779248 is 84297738.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 83779197 and 83779206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83779249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285790 + ... + 286082.

Almost surely, 2^83779248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83779248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

83779248 is an abundant number, since it is smaller than the sum of its proper divisors (182203728).

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

83779248 is a wasteful number, since it uses less digits than its factorization.

83779248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 83779248 is about 9153.1004583147. The cubic root of 83779248 is about 437.5679315468.

The spelling of 83779248 in words is "eighty-three million, seven hundred seventy-nine thousand, two hundred forty-eight".