810152640 has 336 divisors, whose sum is σ = 3081162240. Its totient is φ = 193751040.

The previous prime is 810152593. The next prime is 810152657. The reversal of 810152640 is 46251018.

810152640 is a `hidden beast` number, since 8 + 1 + 0 + 15 + 2 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389641 + ... + 3389879.

Almost surely, 2^810152640 is an apocalyptic number.

810152640 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 810152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540581120).

810152640 is an abundant number, since it is smaller than the sum of its proper divisors (2271009600).

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

810152640 is a wasteful number, since it uses less digits than its factorization.

810152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 810152640 is about 28463.1804266494. The cubic root of 810152640 is about 932.2283021788.

The spelling of 810152640 in words is "eight hundred ten million, one hundred fifty-two thousand, six hundred forty".