6777252 has 36 divisors (see below), whose sum is σ = 17355520. Its totient is φ = 2229552.

The previous prime is 6777241. The next prime is 6777263. The reversal of 6777252 is 2527776.

It is an interprime number because it is at equal distance from previous prime (6777241) and next prime (6777263).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6777252² = 91862289343008, which contains 22 as substring.

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

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, 1653 + ... + 4035.

Almost surely, 2^6777252 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 6777252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677760).

6777252 is an abundant number, since it is smaller than the sum of its proper divisors (10578268).

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

6777252 is a wasteful number, since it uses less digits than its factorization.

6777252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2467 counting only the distinct ones).

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

The square root of 6777252 is about 2603.3155782578. The cubic root of 6777252 is about 189.2421520327.

The spelling of 6777252 in words is "six million, seven hundred seventy-seven thousand, two hundred fifty-two".