4778313120 has 576 divisors, whose sum is σ = 19632727296. Its totient is φ = 1074954240.

The previous prime is 4778313119. The next prime is 4778313121. The reversal of 4778313120 is 213138774.

It is an interprime number because it is at equal distance from previous prime (4778313119) and next prime (4778313121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4778313121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26399430 + ... + 26399610.

It is an arithmetic number, because the mean of its divisors is an integer number (34084596).

Almost surely, 2^4778313120 is an apocalyptic number.

4778313120 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 4778313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816363648).

4778313120 is an abundant number, since it is smaller than the sum of its proper divisors (14854414176).

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

4778313120 is a wasteful number, since it uses less digits than its factorization.

4778313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4778313120 is about 69125.3435434501. The cubic root of 4778313120 is about 1684.3210195135.

The spelling of 4778313120 in words is "four billion, seven hundred seventy-eight million, three hundred thirteen thousand, one hundred twenty".