77977212267136 has 256 divisors, whose sum is σ = 199537626839040. Its totient is φ = 29502362824704.

The previous prime is 77977212267103. The next prime is 77977212267137. The reversal of 77977212267136 is 63176221277977.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77977212267137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111868771 + ... + 2111905693.

It is an arithmetic number, because the mean of its divisors is an integer number (779443854840).

Almost surely, 2^{77977212267136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77977212267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99768813419520).

77977212267136 is an abundant number, since it is smaller than the sum of its proper divisors (121560414571904).

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

77977212267136 is a wasteful number, since it uses less digits than its factorization.

77977212267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44863 (or 44851 counting only the distinct ones).

The product of its digits is 130691232, while the sum is 67.

The spelling of 77977212267136 in words is "seventy-seven trillion, nine hundred seventy-seven billion, two hundred twelve million, two hundred sixty-seven thousand, one hundred thirty-six".