77756448 has 192 divisors, whose sum is σ = 259918848. Its totient is φ = 19768320.

The previous prime is 77756443. The next prime is 77756449. The reversal of 77756448 is 84465777.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 77756397 and 77756406.

It is not an unprimeable number, because it can be changed into a prime (77756443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495186 + ... + 495342.

It is an arithmetic number, because the mean of its divisors is an integer number (1353744).

Almost surely, 2^77756448 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 77756448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129959424).

77756448 is an abundant number, since it is smaller than the sum of its proper divisors (182162400).

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

77756448 is a wasteful number, since it uses less digits than its factorization.

77756448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 77756448 is about 8817.9616692295. The cubic root of 77756448 is about 426.8206974249.

The spelling of 77756448 in words is "seventy-seven million, seven hundred fifty-six thousand, four hundred forty-eight".