4778640 has 60 divisors (see below), whose sum is σ = 16050684. Its totient is φ = 1274112.

The previous prime is 4778611. The next prime is 4778659. The reversal of 4778640 is 468774.

4778640 = T₁₆₀ + T₁₆₁ + ... + T₃₁₉.

It is a happy number.

4778640 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 4112784 = 816^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 4778595 and 4778604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2599 + ... + 4038.

Almost surely, 2^4778640 is an apocalyptic number.

4778640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4778640 is an abundant number, since it is smaller than the sum of its proper divisors (11272044).

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

4778640 is a wasteful number, since it uses less digits than its factorization.

4778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4778640 is about 2186.0100640207. The cubic root of 4778640 is about 168.4359426254.

It can be divided in two parts, 47 and 78640, that added together give a palindrome (78687).

The spelling of 4778640 in words is "four million, seven hundred seventy-eight thousand, six hundred forty".