77069679697920 has 4032 divisors, whose sum is σ = 336641742524160. Its totient is φ = 14963447955456.

The previous prime is 77069679697909. The next prime is 77069679697921. The reversal of 77069679697920 is 2979697696077.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (77069679697921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 865951457236 + ... + 865951457324.

Almost surely, 2^{77069679697920} is an apocalyptic number.

77069679697920 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 77069679697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168320871262080).

77069679697920 is an abundant number, since it is smaller than the sum of its proper divisors (259572062826240).

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

77069679697920 is a wasteful number, since it uses less digits than its factorization.

77069679697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6805279152, while the sum is 84.

The spelling of 77069679697920 in words is "seventy-seven trillion, sixty-nine billion, six hundred seventy-nine million, six hundred ninety-seven thousand, nine hundred twenty".