967776480 has 288 divisors, whose sum is σ = 3642807168. Its totient is φ = 232012800.

The previous prime is 967776443. The next prime is 967776499. The reversal of 967776480 is 84677769.

967776480 is a `hidden beast` number, since 96 + 7 + 7 + 76 + 480 = 666.

967776480 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 (288).

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, 1694595 + ... + 1695165.

It is an arithmetic number, because the mean of its divisors is an integer number (12648636).

Almost surely, 2^967776480 is an apocalyptic number.

967776480 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 967776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821403584).

967776480 is an abundant number, since it is smaller than the sum of its proper divisors (2675030688).

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

967776480 is a wasteful number, since it uses less digits than its factorization.

967776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 967776480 is about 31109.1060623734. The cubic root of 967776480 is about 989.1413430182.

It can be divided in two parts, 967776 and 480, that added together give a square (968256 = 984²).

The spelling of 967776480 in words is "nine hundred sixty-seven million, seven hundred seventy-six thousand, four hundred eighty".