83768480 has 24 divisors (see below), whose sum is σ = 197903412. Its totient is φ = 33507328.

The previous prime is 83768441. The next prime is 83768527. The reversal of 83768480 is 8486738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80066704 + 3701776 = 8948^2 + 1924^2 .

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 3 ways as a sum of consecutive naturals, for example, 261617 + ... + 261936.

Almost surely, 2^83768480 is an apocalyptic number.

83768480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83768480 is an abundant number, since it is smaller than the sum of its proper divisors (114134932).

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

83768480 is a wasteful number, since it uses less digits than its factorization.

83768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523568 (or 523560 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 83768480 is about 9152.5122234281. The cubic root of 83768480 is about 437.5491841303.

It can be divided in two parts, 83768 and 480, that added together give a palindrome (84248).

The spelling of 83768480 in words is "eighty-three million, seven hundred sixty-eight thousand, four hundred eighty".