83775456 has 144 divisors (see below), whose sum is σ = 256864608. Its totient is φ = 25804800.

The previous prime is 83775451. The next prime is 83775463. The reversal of 83775456 is 65457738.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83775451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347496 + ... + 347736.

It is an arithmetic number, because the mean of its divisors is an integer number (1783782).

Almost surely, 2^83775456 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 83775456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304).

83775456 is an abundant number, since it is smaller than the sum of its proper divisors (173089152).

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

83775456 is a wasteful number, since it uses less digits than its factorization.

83775456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 83775456 is about 9152.8933130459. The cubic root of 83775456 is about 437.5613297424.

The spelling of 83775456 in words is "eighty-three million, seven hundred seventy-five thousand, four hundred fifty-six".