252777720 has 128 divisors (see below), whose sum is σ = 843171840. Its totient is φ = 60203520.

The previous prime is 252777719. The next prime is 252777737. The reversal of 252777720 is 27777252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45747 + ... + 50973.

It is an arithmetic number, because the mean of its divisors is an integer number (6587280).

Almost surely, 2^252777720 is an apocalyptic number.

252777720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252777720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421585920).

252777720 is an abundant number, since it is smaller than the sum of its proper divisors (590394120).

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

252777720 is a wasteful number, since it uses less digits than its factorization.

252777720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 39.

The square root of 252777720 is about 15898.9848732553. The cubic root of 252777720 is about 632.2850754192.

The spelling of 252777720 in words is "two hundred fifty-two million, seven hundred seventy-seven thousand, seven hundred twenty".