78074320896 has 576 divisors, whose sum is σ = 279036576000. Its totient is φ = 20676280320.

The previous prime is 78074320873. The next prime is 78074320913. The reversal of 78074320896 is 69802347087.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50078965 + ... + 50080523.

It is an arithmetic number, because the mean of its divisors is an integer number (484438500).

Almost surely, 2^78074320896 is an apocalyptic number.

78074320896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78074320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139518288000).

78074320896 is an abundant number, since it is smaller than the sum of its proper divisors (200962255104).

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

78074320896 is a wasteful number, since it uses less digits than its factorization.

78074320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 78074320896 in words is "seventy-eight billion, seventy-four million, three hundred twenty thousand, eight hundred ninety-six".