76603648 has 54 divisors (see below), whose sum is σ = 168140462. Its totient is φ = 34805760.

The previous prime is 76603633. The next prime is 76603669. The reversal of 76603648 is 84630667.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 5234944 = 8448^2 + 2288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76603648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29740 + ... + 32212.

Almost surely, 2^76603648 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 76603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84070231).

76603648 is an abundant number, since it is smaller than the sum of its proper divisors (91536814).

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

76603648 is a wasteful number, since it uses less digits than its factorization.

76603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 76603648 is about 8752.3509984461. The cubic root of 76603648 is about 424.7008700187.

The spelling of 76603648 in words is "seventy-six million, six hundred three thousand, six hundred forty-eight".