83776672 has 108 divisors (see below), whose sum is σ = 202553946. Its totient is φ = 34003200.

The previous prime is 83776657. The next prime is 83776687. The reversal of 83776672 is 27667738.

It is an interprime number because it is at equal distance from previous prime (83776657) and next prime (83776687).

It can be written as a sum of positive squares in only one way, i.e., 50183056 + 33593616 = 7084^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 829422 + ... + 829522.

Almost surely, 2^83776672 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 83776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101276973).

83776672 is an abundant number, since it is smaller than the sum of its proper divisors (118777274).

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

83776672 is a wasteful number, since it uses less digits than its factorization.

83776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The square root of 83776672 is about 9152.9597398874. The cubic root of 83776672 is about 437.5634467984.

It can be divided in two parts, 83776 and 672, that added together give a palindrome (84448).

The spelling of 83776672 in words is "eighty-three million, seven hundred seventy-six thousand, six hundred seventy-two".