77420448 has 240 divisors, whose sum is σ = 276623424. Its totient is φ = 20736000.

The previous prime is 77420419. The next prime is 77420467. The reversal of 77420448 is 84402477.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 308323 + ... + 308573.

Almost surely, 2^77420448 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 77420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

77420448 is an abundant number, since it is smaller than the sum of its proper divisors (199202976).

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

77420448 is a wasteful number, since it uses less digits than its factorization.

77420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 77420448 is about 8798.8890207798. The cubic root of 77420448 is about 426.2050193475.

The spelling of 77420448 in words is "seventy-seven million, four hundred twenty thousand, four hundred forty-eight".