76888448 has 192 divisors, whose sum is σ = 205117920. Its totient is φ = 28385280.

The previous prime is 76888439. The next prime is 76888453. The reversal of 76888448 is 84488867.

76888448 = 29³ + 30³ + ... + 132³.

It is a self number, because there is not a number n which added to its sum of digits gives 76888448.

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, 1875308 + ... + 1875348.

Almost surely, 2^76888448 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 76888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

76888448 is an abundant number, since it is smaller than the sum of its proper divisors (128229472).

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

76888448 is a wasteful number, since it uses less digits than its factorization.

76888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The square root of 76888448 is about 8768.6058184868. The cubic root of 76888448 is about 425.2265421982.

It can be divided in two parts, 7 and 6888448, that multiplied together give a square (48219136 = 6944²).

The spelling of 76888448 in words is "seventy-six million, eight hundred eighty-eight thousand, four hundred forty-eight".