77933467920 has 320 divisors, whose sum is σ = 302750908416. Its totient is φ = 16111011840.

The previous prime is 77933467903. The next prime is 77933467921. The reversal of 77933467920 is 2976433977.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77933467921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3629857 + ... + 3651263.

Almost surely, 2^77933467920 is an apocalyptic number.

77933467920 is a gapful number since it is divisible by the number (70) 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 77933467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151375454208).

77933467920 is an abundant number, since it is smaller than the sum of its proper divisors (224817440496).

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

77933467920 is a wasteful number, since it uses less digits than its factorization.

77933467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 57.

The spelling of 77933467920 in words is "seventy-seven billion, nine hundred thirty-three million, four hundred sixty-seven thousand, nine hundred twenty".