77888448 has 168 divisors, whose sum is σ = 256763520. Its totient is φ = 22325760.

The previous prime is 77888347. The next prime is 77888477. The reversal of 77888448 is 84488877.

It is a happy number.

It is a super-2 number, since 2×77888448² = 12133220663697408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77888394 and 77888403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120061 + ... + 120707.

Almost surely, 2^77888448 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 77888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

77888448 is an abundant number, since it is smaller than the sum of its proper divisors (178875072).

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

77888448 is a wasteful number, since it uses less digits than its factorization.

77888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 77888448 is about 8825.4432183319. The cubic root of 77888448 is about 427.0620856839.

The spelling of 77888448 in words is "seventy-seven million, eight hundred eighty-eight thousand, four hundred forty-eight".