77468080 has 80 divisors (see below), whose sum is σ = 185925600. Its totient is φ = 30007296.

The previous prime is 77468059. The next prime is 77468081. The reversal of 77468080 is 8086477.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (77468081) 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 15 ways as a sum of consecutive naturals, for example, 519846 + ... + 519994.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^77468080 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 77468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92962800).

77468080 is an abundant number, since it is smaller than the sum of its proper divisors (108457520).

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

77468080 is a wasteful number, since it uses less digits than its factorization.

77468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 77468080 is about 8801.5953099424. The cubic root of 77468080 is about 426.2924072668.

The spelling of 77468080 in words is "seventy-seven million, four hundred sixty-eight thousand, eighty".