76444896 has 72 divisors (see below), whose sum is σ = 220602312. Its totient is φ = 23161600.

The previous prime is 76444883. The next prime is 76444931. The reversal of 76444896 is 69844467.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8326 + ... + 14906.

It is an arithmetic number, because the mean of its divisors is an integer number (3063921).

Almost surely, 2^76444896 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 76444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110301156).

76444896 is an abundant number, since it is smaller than the sum of its proper divisors (144157416).

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

76444896 is a wasteful number, since it uses less digits than its factorization.

76444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6597 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 76444896 is about 8743.2771887891. The cubic root of 76444896 is about 424.4072863458.

The spelling of 76444896 in words is "seventy-six million, four hundred forty-four thousand, eight hundred ninety-six".