813477396480 has 480 divisors, whose sum is σ = 3029559667200. Its totient is φ = 185849610240.

The previous prime is 813477396461. The next prime is 813477396481. The reversal of 813477396480 is 84693774318.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813477396481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385350625 + ... + 385352735.

It is an arithmetic number, because the mean of its divisors is an integer number (6311582640).

Almost surely, 2^813477396480 is an apocalyptic number.

813477396480 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 813477396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514779833600).

813477396480 is an abundant number, since it is smaller than the sum of its proper divisors (2216082270720).

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

813477396480 is an frugal number, since it uses more digits than its factorization.

813477396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 813477396480 in words is "eight hundred thirteen billion, four hundred seventy-seven million, three hundred ninety-six thousand, four hundred eighty".