802778484000 has 384 divisors, whose sum is σ = 2654833708800. Its totient is φ = 212055244800.

The previous prime is 802778483993. The next prime is 802778484031. The reversal of 802778484000 is 484877208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 723875446 + ... + 723876554.

It is an arithmetic number, because the mean of its divisors is an integer number (6913629450).

Almost surely, 2^802778484000 is an apocalyptic number.

802778484000 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 802778484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327416854400).

802778484000 is an abundant number, since it is smaller than the sum of its proper divisors (1852055224800).

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

802778484000 is a wasteful number, since it uses less digits than its factorization.

802778484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 802778484000 in words is "eight hundred two billion, seven hundred seventy-eight million, four hundred eighty-four thousand".