77988480 has 128 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 20582400.

The previous prime is 77988479. The next prime is 77988487. The reversal of 77988480 is 8488977.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77988487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289786 + ... + 290054.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^77988480 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 77988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

77988480 is an abundant number, since it is smaller than the sum of its proper divisors (173176320).

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

77988480 is a wasteful number, since it uses less digits than its factorization.

77988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 77988480 is about 8831.1086506735. The cubic root of 77988480 is about 427.2448325068.

The spelling of 77988480 in words is "seventy-seven million, nine hundred eighty-eight thousand, four hundred eighty".