4075776 has 108 divisors (see below), whose sum is σ = 12355980. Its totient is φ = 1290240.

The previous prime is 4075759. The next prime is 4075777. The reversal of 4075776 is 6775704.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 3154176 = 960^2 + 1776^2 .

It is a super-2 number, since 2×4075776² = 33223900004352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4075776.

It is not an unprimeable number, because it can be changed into a prime (4075777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66786 + ... + 66846.

Almost surely, 2^4075776 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 4075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177990).

4075776 is an abundant number, since it is smaller than the sum of its proper divisors (8280204).

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

4075776 is a wasteful number, since it uses less digits than its factorization.

4075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 4075776 is about 2018.8551211021. The cubic root of 4075776 is about 159.7362320711.

It can be divided in two parts, 4075 and 776, that added together give a triangular number (4851 = T₉₈).

The spelling of 4075776 in words is "four million, seventy-five thousand, seven hundred seventy-six".