77481648 has 120 divisors (see below), whose sum is σ = 237234816. Its totient is φ = 23500800.

The previous prime is 77481643. The next prime is 77481667. The reversal of 77481648 is 84618477.

It is not an unprimeable number, because it can be changed into a prime (77481643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75378 + ... + 76398.

Almost surely, 2^77481648 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 77481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118617408).

77481648 is an abundant number, since it is smaller than the sum of its proper divisors (159753168).

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

77481648 is a wasteful number, since it uses less digits than its factorization.

77481648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 77481648 is about 8802.3660455584. The cubic root of 77481648 is about 426.3172932058.

The spelling of 77481648 in words is "seventy-seven million, four hundred eighty-one thousand, six hundred forty-eight".