77508480 has 256 divisors, whose sum is σ = 289843200. Its totient is φ = 17252352.

The previous prime is 77508479. The next prime is 77508517. The reversal of 77508480 is 8480577.

It is a super-3 number, since 3×77508480³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981081 + ... + 981159.

It is an arithmetic number, because the mean of its divisors is an integer number (1132200).

Almost surely, 2^77508480 is an apocalyptic number.

77508480 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 77508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144921600).

77508480 is an abundant number, since it is smaller than the sum of its proper divisors (212334720).

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

77508480 is a wasteful number, since it uses less digits than its factorization.

77508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 77508480 is about 8803.8900492907. The cubic root of 77508480 is about 426.3664989455.

The spelling of 77508480 in words is "seventy-seven million, five hundred eight thousand, four hundred eighty".