5777464 has 64 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 2204160.

The previous prime is 5777461. The next prime is 5777479. The reversal of 5777464 is 4647775.

It is a d-powerful number, because it can be written as 5 + 7⁴ + 7⁴ + 7⁸ + 4² + 6⁵ + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51072 + ... + 51184.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^5777464 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 5777464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

5777464 is an abundant number, since it is smaller than the sum of its proper divisors (8011976).

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

5777464 is a wasteful number, since it uses less digits than its factorization.

5777464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 5777464 is about 2403.6355797001. The cubic root of 5777464 is about 179.4371720124.

It can be divided in two parts, 5777 and 464, that added together give a square (6241 = 79²).

The spelling of 5777464 in words is "five million, seven hundred seventy-seven thousand, four hundred sixty-four".