76449968 has 80 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 31242240.

The previous prime is 76449949. The next prime is 76449979. The reversal of 76449968 is 86994467.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336671 + ... + 336897.

Almost surely, 2^76449968 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 76449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

76449968 is an abundant number, since it is smaller than the sum of its proper divisors (100872016).

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

76449968 is a wasteful number, since it uses less digits than its factorization.

76449968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 76449968 is about 8743.5672354023. The cubic root of 76449968 is about 424.4166723928.

The spelling of 76449968 in words is "seventy-six million, four hundred forty-nine thousand, nine hundred sixty-eight".