77667161880 has 384 divisors, whose sum is σ = 297704160000. Its totient is φ = 16028328960.

The previous prime is 77667161867. The next prime is 77667161893. The reversal of 77667161880 is 8816176677.

It is an interprime number because it is at equal distance from previous prime (77667161867) and next prime (77667161893).

It is a self number, because there is not a number n which added to its sum of digits gives 77667161880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9633291 + ... + 9641349.

It is an arithmetic number, because the mean of its divisors is an integer number (775271250).

Almost surely, 2^77667161880 is an apocalyptic number.

77667161880 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 77667161880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080000).

77667161880 is an abundant number, since it is smaller than the sum of its proper divisors (220036998120).

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

77667161880 is a wasteful number, since it uses less digits than its factorization.

77667161880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 77667161880 in words is "seventy-seven billion, six hundred sixty-seven million, one hundred sixty-one thousand, eight hundred eighty".