5777460 has 96 divisors (see below), whose sum is σ = 19380480. Its totient is φ = 1420416.

The previous prime is 5777459. The next prime is 5777461. The reversal of 5777460 is 647775.

5777460 = T₆₇ + T₆₈ + ... + T₃₂₆.

It is an interprime number because it is at equal distance from previous prime (5777459) and next prime (5777461).

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 (5777461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6609 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (201880).

Almost surely, 2^5777460 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 5777460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690240).

5777460 is an abundant number, since it is smaller than the sum of its proper divisors (13603020).

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

5777460 is a wasteful number, since it uses less digits than its factorization.

5777460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5777460 is about 2403.6347476270. The cubic root of 5777460 is about 179.4371306016.

The spelling of 5777460 in words is "five million, seven hundred seventy-seven thousand, four hundred sixty".