816738480 has 240 divisors, whose sum is σ = 2961372960. Its totient is φ = 200957952.

The previous prime is 816738473. The next prime is 816738521. The reversal of 816738480 is 84837618.

816738480 is a `hidden beast` number, since 8 + 167 + 3 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648091 + ... + 649349.

It is an arithmetic number, because the mean of its divisors is an integer number (12339054).

Almost surely, 2^816738480 is an apocalyptic number.

816738480 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 816738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480686480).

816738480 is an abundant number, since it is smaller than the sum of its proper divisors (2144634480).

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

816738480 is a wasteful number, since it uses less digits than its factorization.

816738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 816738480 is about 28578.6367764454. The cubic root of 816738480 is about 934.7475578414.

The spelling of 816738480 in words is "eight hundred sixteen million, seven hundred thirty-eight thousand, four hundred eighty".