820894398480 has 320 divisors, whose sum is σ = 3050903896320. Its totient is φ = 201676345344.

The previous prime is 820894398439. The next prime is 820894398509. The reversal of 820894398480 is 84893498028.

820894398480 is a `hidden beast` number, since 8 + 20 + 8 + 9 + 43 + 98 + 480 = 666.

It is a super-2 number, since 2×820894398480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14657892 + ... + 14713788.

It is an arithmetic number, because the mean of its divisors is an integer number (9534074676).

Almost surely, 2^820894398480 is an apocalyptic number.

820894398480 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 820894398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525451948160).

820894398480 is an abundant number, since it is smaller than the sum of its proper divisors (2230009497840).

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

820894398480 is a wasteful number, since it uses less digits than its factorization.

820894398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56455 (or 56443 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 820894398480 in words is "eight hundred twenty billion, eight hundred ninety-four million, three hundred ninety-eight thousand, four hundred eighty".