77076677214700 has 144 divisors (see below), whose sum is σ = 185029666343424. Its totient is φ = 27720210355200.

The previous prime is 77076677214629. The next prime is 77076677214701. The reversal of 77076677214700 is 741277667077.

It is not an unprimeable number, because it can be changed into a prime (77076677214701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29519305 + ... + 32024095.

It is an arithmetic number, because the mean of its divisors is an integer number (1284928238496).

Almost surely, 2^{77076677214700} 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 77076677214700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92514833171712).

77076677214700 is an abundant number, since it is smaller than the sum of its proper divisors (107952989128724).

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

77076677214700 is a wasteful number, since it uses less digits than its factorization.

77076677214700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505632 (or 2505625 counting only the distinct ones).

The product of its (nonzero) digits is 33882912, while the sum is 61.

The spelling of 77076677214700 in words is "seventy-seven trillion, seventy-six billion, six hundred seventy-seven million, two hundred fourteen thousand, seven hundred".