4777696 has 72 divisors (see below), whose sum is σ = 11979576. Its totient is φ = 1854720.

The previous prime is 4777681. The next prime is 4777711. The reversal of 4777696 is 6967774.

4777696 = 85³ + 86³ + ... + 91³.

It is an interprime number because it is at equal distance from previous prime (4777681) and next prime (4777711).

It is a congruent number.

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, 17110 + ... + 17386.

It is an arithmetic number, because the mean of its divisors is an integer number (166383).

Almost surely, 2^4777696 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 4777696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989788).

4777696 is an abundant number, since it is smaller than the sum of its proper divisors (7201880).

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

4777696 is a wasteful number, since it uses less digits than its factorization.

4777696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its digits is 444528, while the sum is 46.

The square root of 4777696 is about 2185.7941348627. The cubic root of 4777696 is about 168.4248506271.

The spelling of 4777696 in words is "four million, seven hundred seventy-seven thousand, six hundred ninety-six".