815494680 has 768 divisors, whose sum is σ = 3723632640. Its totient is φ = 149299200.

The previous prime is 815494651. The next prime is 815494747. The reversal of 815494680 is 86494518.

815494680 is a `hidden beast` number, since 81 + 5 + 494 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11171124 + ... + 11171196.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^815494680 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 815494680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861816320).

815494680 is an abundant number, since it is smaller than the sum of its proper divisors (2908137960).

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

815494680 is a wasteful number, since it uses less digits than its factorization.

815494680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 815494680 is about 28556.8674752677. The cubic root of 815494680 is about 934.2728119548.

The spelling of 815494680 in words is "eight hundred fifteen million, four hundred ninety-four thousand, six hundred eighty".