255777120 has 72 divisors (see below), whose sum is σ = 872844336. Its totient is φ = 68206848.

The previous prime is 255777113. The next prime is 255777127. The reversal of 255777120 is 21777552.

It is an interprime number because it is at equal distance from previous prime (255777113) and next prime (255777127).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (255777127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87372 + ... + 90251.

It is an arithmetic number, because the mean of its divisors is an integer number (12122838).

Almost surely, 2^255777120 is an apocalyptic number.

255777120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255777120 is an abundant number, since it is smaller than the sum of its proper divisors (617067216).

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

255777120 is a wasteful number, since it uses less digits than its factorization.

255777120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177644 (or 177633 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 255777120 is about 15993.0334833639. The cubic root of 255777120 is about 634.7760964790.

The spelling of 255777120 in words is "two hundred fifty-five million, seven hundred seventy-seven thousand, one hundred twenty".