4077838080 has 360 divisors, whose sum is σ = 14999705952. Its totient is φ = 1057038336.

The previous prime is 4077838067. The next prime is 4077838091. The reversal of 4077838080 is 808387704.

4077838080 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3835629 + ... + 3836691.

Almost surely, 2^4077838080 is an apocalyptic number.

4077838080 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 4077838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499852976).

4077838080 is an abundant number, since it is smaller than the sum of its proper divisors (10921867872).

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

4077838080 is a wasteful number, since it uses less digits than its factorization.

4077838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4077838080 is about 63857.9523630378. The cubic root of 4077838080 is about 1597.6316627581.

The spelling of 4077838080 in words is "four billion, seventy-seven million, eight hundred thirty-eight thousand, eighty".