77787021312 has 1440 divisors, whose sum is σ = 329762893824. Its totient is φ = 16986931200.

The previous prime is 77787021283. The next prime is 77787021317. The reversal of 77787021312 is 21312078777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77787021317) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2509258737 + ... + 2509258767.

Almost surely, 2^77787021312 is an apocalyptic number.

77787021312 is a gapful number since it is divisible by the number (72) 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 77787021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164881446912).

77787021312 is an abundant number, since it is smaller than the sum of its proper divisors (251975872512).

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

77787021312 is a wasteful number, since it uses less digits than its factorization.

77787021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 77787021312 in words is "seventy-seven billion, seven hundred eighty-seven million, twenty-one thousand, three hundred twelve".