77111880 has 128 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 18835200.

The previous prime is 77111843. The next prime is 77111887. The reversal of 77111880 is 8811177.

It is not an unprimeable number, because it can be changed into a prime (77111887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70135 + ... + 71225.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^77111880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77111880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

77111880 is an abundant number, since it is smaller than the sum of its proper divisors (174484920).

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

77111880 is a wasteful number, since it uses less digits than its factorization.

77111880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

The square root of 77111880 is about 8781.3370280385. The cubic root of 77111880 is about 425.6380358953.

It can be divided in two parts, 7711 and 1880, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 77111880 in words is "seventy-seven million, one hundred eleven thousand, eight hundred eighty".