77110880 has 144 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 23992320.

The previous prime is 77110877. The next prime is 77110883. The reversal of 77110880 is 8801177.

It is an interprime number because it is at equal distance from previous prime (77110877) and next prime (77110883).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77110883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135236 + ... + 135804.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^77110880 is an apocalyptic number.

77110880 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 77110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

77110880 is an abundant number, since it is smaller than the sum of its proper divisors (152138560).

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

77110880 is a wasteful number, since it uses less digits than its factorization.

77110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The square root of 77110880 is about 8781.2800889164. The cubic root of 77110880 is about 425.6361959718.

The spelling of 77110880 in words is "seventy-seven million, one hundred ten thousand, eight hundred eighty".