967870800 has 180 divisors, whose sum is σ = 3617323164. Its totient is φ = 238233600.

The previous prime is 967870777. The next prime is 967870801. The reversal of 967870800 is 8078769.

It can be written as a sum of positive squares in 6 ways, for example, as 287913024 + 679957776 = 16968^2 + 26076^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967870801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36460 + ... + 57140.

Almost surely, 2^967870800 is an apocalyptic number.

967870800 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 967870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808661582).

967870800 is an abundant number, since it is smaller than the sum of its proper divisors (2649452364).

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

967870800 is a wasteful number, since it uses less digits than its factorization.

967870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20718 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 967870800 is about 31110.6219802819. The cubic root of 967870800 is about 989.1734760512.

The spelling of 967870800 in words is "nine hundred sixty-seven million, eight hundred seventy thousand, eight hundred".