77023755144 has 256 divisors, whose sum is σ = 253585612800. Its totient is φ = 21202539264.

The previous prime is 77023755089. The next prime is 77023755173. The reversal of 77023755144 is 44155732077.

77023755144 is a `hidden beast` number, since 7 + 70 + 23 + 7 + 551 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77023755144.

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, 5755549 + ... + 5768915.

It is an arithmetic number, because the mean of its divisors is an integer number (990568800).

Almost surely, 2^77023755144 is an apocalyptic number.

77023755144 is a gapful number since it is divisible by the number (74) 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 77023755144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126792806400).

77023755144 is an abundant number, since it is smaller than the sum of its proper divisors (176561857656).

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

77023755144 is a wasteful number, since it uses less digits than its factorization.

77023755144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529 (or 13519 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 77023755144 in words is "seventy-seven billion, twenty-three million, seven hundred fifty-five thousand, one hundred forty-four".