967420800 has 192 divisors, whose sum is σ = 3540807600. Its totient is φ = 257955840.

The previous prime is 967420771. The next prime is 967420823. The reversal of 967420800 is 8024769.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80802 + ... + 91998.

Almost surely, 2^967420800 is an apocalyptic number.

967420800 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 967420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770403800).

967420800 is an abundant number, since it is smaller than the sum of its proper divisors (2573386800).

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

967420800 is a wasteful number, since it uses less digits than its factorization.

967420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11230 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 967420800 is about 31103.3888828854. The cubic root of 967420800 is about 989.0201508113.

The spelling of 967420800 in words is "nine hundred sixty-seven million, four hundred twenty thousand, eight hundred".