27777765240 has 256 divisors, whose sum is σ = 93582720000. Its totient is φ = 7328724480.

The previous prime is 27777765193. The next prime is 27777765329. The reversal of 27777765240 is 4256777772.

27777765240 is a `hidden beast` number, since 277 + 7 + 77 + 65 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65980230 + ... + 65980650.

It is an arithmetic number, because the mean of its divisors is an integer number (365557500).

Almost surely, 2^27777765240 is an apocalyptic number.

27777765240 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 27777765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46791360000).

27777765240 is an abundant number, since it is smaller than the sum of its proper divisors (65804954760).

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

27777765240 is a wasteful number, since it uses less digits than its factorization.

27777765240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 54.

The spelling of 27777765240 in words is "twenty-seven billion, seven hundred seventy-seven million, seven hundred sixty-five thousand, two hundred forty".