77774256000 has 640 divisors, whose sum is σ = 330159360960. Its totient is φ = 17774899200.

The previous prime is 77774255989. The next prime is 77774256017. The reversal of 77774256000 is 65247777.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9067714 + ... + 9076286.

Almost surely, 2^77774256000 is an apocalyptic number.

77774256000 is a gapful number since it is divisible by the number (70) 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 77774256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165079680480).

77774256000 is an abundant number, since it is smaller than the sum of its proper divisors (252385104960).

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

77774256000 is an equidigital number, since it uses as much as digits as its factorization.

77774256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 77774256000 in words is "seventy-seven billion, seven hundred seventy-four million, two hundred fifty-six thousand".