4076800 has 162 divisors, whose sum is σ = 12641118. Its totient is φ = 1290240.

The previous prime is 4076783. The next prime is 4076803. The reversal of 4076800 is 86704.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 4064256 = 112^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313594 + ... + 313606.

Almost surely, 2^4076800 is an apocalyptic number.

4076800 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 4076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320559).

4076800 is an abundant number, since it is smaller than the sum of its proper divisors (8564318).

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

4076800 is a wasteful number, since it uses less digits than its factorization.

4076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4076800 is about 2019.1087142598. The cubic root of 4076800 is about 159.7496083546.

The spelling of 4076800 in words is "four million, seventy-six thousand, eight hundred".