4077805300 has 72 divisors (see below), whose sum is σ = 9411522624. Its totient is φ = 1528266240.

The previous prime is 4077805279. The next prime is 4077805301. The reversal of 4077805300 is 35087704.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077805301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380617 + ... + 391183.

It is an arithmetic number, because the mean of its divisors is an integer number (130715592).

Almost surely, 2^4077805300 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 4077805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705761312).

4077805300 is an abundant number, since it is smaller than the sum of its proper divisors (5333717324).

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

4077805300 is a wasteful number, since it uses less digits than its factorization.

4077805300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 4077805300 is about 63857.6956991090. The cubic root of 4077805300 is about 1597.6273818535.

The spelling of 4077805300 in words is "four billion, seventy-seven million, eight hundred five thousand, three hundred".