4082076000 has 480 divisors, whose sum is σ = 15383335968. Its totient is φ = 1059609600.

The previous prime is 4082075999. The next prime is 4082076013. The reversal of 4082076000 is 6702804.

4082076000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13931854 + ... + 13932146.

Almost surely, 2^4082076000 is an apocalyptic number.

4082076000 is a gapful number since it is divisible by the number (40) 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 4082076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691667984).

4082076000 is an abundant number, since it is smaller than the sum of its proper divisors (11301259968).

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

4082076000 is a wasteful number, since it uses less digits than its factorization.

4082076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4082076000 is about 63891.1261444029. The cubic root of 4082076000 is about 1598.1849208751.

Adding to 4082076000 its reverse (6702804), we get a palindrome (4088778804).

The spelling of 4082076000 in words is "four billion, eighty-two million, seventy-six thousand".