967777920 has 384 divisors, whose sum is σ = 3627936000. Its totient is φ = 236888064.

The previous prime is 967777907. The next prime is 967777931. The reversal of 967777920 is 29777769.

967777920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4049161 + ... + 4049399.

It is an arithmetic number, because the mean of its divisors is an integer number (9447750).

Almost surely, 2^967777920 is an apocalyptic number.

967777920 is a gapful number since it is divisible by the number (90) 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 967777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813968000).

967777920 is an abundant number, since it is smaller than the sum of its proper divisors (2660158080).

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

967777920 is a wasteful number, since it uses less digits than its factorization.

967777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The square root of 967777920 is about 31109.1292067136. The cubic root of 967777920 is about 989.1418336145.

The spelling of 967777920 in words is "nine hundred sixty-seven million, seven hundred seventy-seven thousand, nine hundred twenty".