77954412960 has 480 divisors, whose sum is σ = 291244947840. Its totient is φ = 19581585408.

The previous prime is 77954412947. The next prime is 77954413001. The reversal of 77954412960 is 6921445977.

77954412960 is a `hidden beast` number, since 7 + 7 + 9 + 544 + 1 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77954412897 and 77954412906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48508477 + ... + 48510083.

It is an arithmetic number, because the mean of its divisors is an integer number (606760308).

Almost surely, 2^77954412960 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 77954412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145622473920).

77954412960 is an abundant number, since it is smaller than the sum of its proper divisors (213290534880).

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

77954412960 is a wasteful number, since it uses less digits than its factorization.

77954412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 77954412960 in words is "seventy-seven billion, nine hundred fifty-four million, four hundred twelve thousand, nine hundred sixty".