800964806400 has 2160 divisors, whose sum is σ = 3497644136448. Its totient is φ = 178827264000.

The previous prime is 800964806371. The next prime is 800964806429. The reversal of 800964806400 is 4608469008.

It is a happy number.

800964806400 is a `hidden beast` number, since 80 + 0 + 96 + 4 + 80 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (800964806371) and next prime (800964806429).

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 4065811102 + ... + 4065811298.

Almost surely, 2^800964806400 is an apocalyptic number.

800964806400 is a gapful number since it is divisible by the number (80) 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 800964806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748822068224).

800964806400 is an abundant number, since it is smaller than the sum of its proper divisors (2696679330048).

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

800964806400 is a wasteful number, since it uses less digits than its factorization.

800964806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 800964806400 in words is "eight hundred billion, nine hundred sixty-four million, eight hundred six thousand, four hundred".