77760648 has 240 divisors, whose sum is σ = 264844800. Its totient is φ = 21228480.

The previous prime is 77760623. The next prime is 77760649. The reversal of 77760648 is 84606777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77760649) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 984273 + ... + 984351.

It is an arithmetic number, because the mean of its divisors is an integer number (1103520).

Almost surely, 2^77760648 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 77760648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132422400).

77760648 is an abundant number, since it is smaller than the sum of its proper divisors (187084152).

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

77760648 is a wasteful number, since it uses less digits than its factorization.

77760648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77760648 is about 8818.1998162890. The cubic root of 77760648 is about 426.8283821666.

It can be divided in two parts, 777 and 60648, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 77760648 in words is "seventy-seven million, seven hundred sixty thousand, six hundred forty-eight".