966077280 has 480 divisors, whose sum is σ = 4074706944. Its totient is φ = 210760704.

The previous prime is 966077267. The next prime is 966077293. The reversal of 966077280 is 82770669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (966077267) and next prime (966077293).

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 (45).

It is a congruent number.

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, 2086329 + ... + 2086791.

Almost surely, 2^966077280 is an apocalyptic number.

966077280 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 966077280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037353472).

966077280 is an abundant number, since it is smaller than the sum of its proper divisors (3108629664).

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

966077280 is a wasteful number, since it uses less digits than its factorization.

966077280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 966077280 is about 31081.7837325981. The cubic root of 966077280 is about 988.5620998978.

The spelling of 966077280 in words is "nine hundred sixty-six million, seventy-seven thousand, two hundred eighty".