815378616 has 512 divisors, whose sum is σ = 2903040000. Its totient is φ = 209018880.

The previous prime is 815378579. The next prime is 815378623. The reversal of 815378616 is 616873518.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 26302521 + ... + 26302551.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^815378616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815378616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

815378616 is an abundant number, since it is smaller than the sum of its proper divisors (2087661384).

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

815378616 is a wasteful number, since it uses less digits than its factorization.

815378616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 815378616 is about 28554.8352472922. The cubic root of 815378616 is about 934.2284868816.

The spelling of 815378616 in words is "eight hundred fifteen million, three hundred seventy-eight thousand, six hundred sixteen".