77118480 has 120 divisors (see below), whose sum is σ = 268649472. Its totient is φ = 20559744.

The previous prime is 77118467. The next prime is 77118491. The reversal of 77118480 is 8481177.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 17457 + ... + 21423.

Almost surely, 2^77118480 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 77118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324736).

77118480 is an abundant number, since it is smaller than the sum of its proper divisors (191530992).

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

77118480 is a wasteful number, since it uses less digits than its factorization.

77118480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 77118480 is about 8781.7128169851. The cubic root of 77118480 is about 425.6501789913.

The spelling of 77118480 in words is "seventy-seven million, one hundred eighteen thousand, four hundred eighty".