77700007700 has 72 divisors (see below), whose sum is σ = 193664688000. Its totient is φ = 26506085760.

The previous prime is 77700007681. The next prime is 77700007709. The reversal of 77700007700 is 770000777.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77700007709) 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 23 ways as a sum of consecutive naturals, for example, 139595 + ... + 418194.

Almost surely, 2^77700007700 is an apocalyptic number.

77700007700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77700007700 is an abundant number, since it is smaller than the sum of its proper divisors (115964680300).

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

77700007700 is a wasteful number, since it uses less digits than its factorization.

77700007700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558009 (or 558002 counting only the distinct ones).

The product of its (nonzero) digits is 16807, while the sum is 35.

The spelling of 77700007700 in words is "seventy-seven billion, seven hundred million, seven thousand, seven hundred".