83077344 has 216 divisors, whose sum is σ = 285339600. Its totient is φ = 22917888.

The previous prime is 83077343. The next prime is 83077349. The reversal of 83077344 is 44377038.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

83077344 is a `hidden beast` number, since 8 + 307 + 7 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83077299 and 83077308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83077343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2864722 + ... + 2864750.

Almost surely, 2^83077344 is an apocalyptic number.

83077344 is a gapful number since it is divisible by the number (84) 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 83077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669800).

83077344 is an abundant number, since it is smaller than the sum of its proper divisors (202262256).

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

83077344 is a wasteful number, since it uses less digits than its factorization.

83077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 83077344 is about 9114.6773941813. The cubic root of 83077344 is about 436.3425190538.

It can be divided in two parts, 8307 and 7344, that added together give a palindrome (15651).

The spelling of 83077344 in words is "eighty-three million, seventy-seven thousand, three hundred forty-four".