802116848400 has 360 divisors, whose sum is σ = 3031062945984. Its totient is φ = 180757785600.

The previous prime is 802116848359. The next prime is 802116848437. The reversal of 802116848400 is 4848611208.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4078734 + ... + 4270866.

Almost surely, 2^802116848400 is an apocalyptic number.

802116848400 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 802116848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515531472992).

802116848400 is an abundant number, since it is smaller than the sum of its proper divisors (2228946097584).

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

802116848400 is a wasteful number, since it uses less digits than its factorization.

802116848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192239 (or 192221 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 802116848400 in words is "eight hundred two billion, one hundred sixteen million, eight hundred forty-eight thousand, four hundred".