77781123560 has 64 divisors (see below), whose sum is σ = 200730856320. Its totient is φ = 26571513600.

The previous prime is 77781123559. The next prime is 77781123569. The reversal of 77781123560 is 6532118777.

It is a super-3 number, since 3×77781123560³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (47) 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 (77781123569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423866 + ... + 578985.

It is an arithmetic number, because the mean of its divisors is an integer number (3136419630).

Almost surely, 2^77781123560 is an apocalyptic number.

77781123560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77781123560 is an abundant number, since it is smaller than the sum of its proper divisors (122949732760).

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

77781123560 is a wasteful number, since it uses less digits than its factorization.

77781123560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003146 (or 1003142 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 77781123560 in words is "seventy-seven billion, seven hundred eighty-one million, one hundred twenty-three thousand, five hundred sixty".