77482368 has 96 divisors (see below), whose sum is σ = 225473040. Its totient is φ = 25537536.

The previous prime is 77482337. The next prime is 77482369. The reversal of 77482368 is 86328477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77482369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118330 + ... + 118982.

Almost surely, 2^77482368 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 77482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112736520).

77482368 is an abundant number, since it is smaller than the sum of its proper divisors (147990672).

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

77482368 is a wasteful number, since it uses less digits than its factorization.

77482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 77482368 is about 8802.4069435581. The cubic root of 77482368 is about 426.3186137228.

The spelling of 77482368 in words is "seventy-seven million, four hundred eighty-two thousand, three hundred sixty-eight".