77868000000 has 1008 divisors, whose sum is σ = 332145748480. Its totient is φ = 17625600000.

The previous prime is 77867999959. The next prime is 77868000053. The reversal of 77868000000 is 86877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 755999949 + ... + 756000051.

Almost surely, 2^77868000000 is an apocalyptic number.

77868000000 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 77868000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166072874240).

77868000000 is an abundant number, since it is smaller than the sum of its proper divisors (254277748480).

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

77868000000 is an frugal number, since it uses more digits than its factorization.

77868000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 77868000000 its reverse (86877), we get a palindrome (77868086877).

The spelling of 77868000000 in words is "seventy-seven billion, eight hundred sixty-eight million", and thus it is an aban number.