4078772100 has 216 divisors, whose sum is σ = 13926374280. Its totient is φ = 992471040.

The previous prime is 4078772081. The next prime is 4078772147. The reversal of 4078772100 is 12778704.

4078772100 is a `hidden beast` number, since 407 + 87 + 72 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1808630784 + 2270141316 = 42528^2 + 47646^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1039342 + ... + 1043258.

It is an arithmetic number, because the mean of its divisors is an integer number (64473955).

Almost surely, 2^4078772100 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 4078772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963187140).

4078772100 is an abundant number, since it is smaller than the sum of its proper divisors (9847602180).

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

4078772100 is a wasteful number, since it uses less digits than its factorization.

4078772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 4078772100 is about 63865.2652073097. The cubic root of 4078772100 is about 1597.7536314729.

The spelling of 4078772100 in words is "four billion, seventy-eight million, seven hundred seventy-two thousand, one hundred".