812887488 has 392 divisors, whose sum is σ = 2931688320. Its totient is φ = 218350080.

The previous prime is 812887477. The next prime is 812887489. The reversal of 812887488 is 884788218.

812887488 is a `hidden beast` number, since 81 + 2 + 8 + 87 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812887489) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6205183 + ... + 6205313.

Almost surely, 2^812887488 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 812887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465844160).

812887488 is an abundant number, since it is smaller than the sum of its proper divisors (2118800832).

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

812887488 is a wasteful number, since it uses less digits than its factorization.

812887488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 54.

The square root of 812887488 is about 28511.1818064422. The cubic root of 812887488 is about 933.2761044275.

The spelling of 812887488 in words is "eight hundred twelve million, eight hundred eighty-seven thousand, four hundred eighty-eight".