814738752 has 168 divisors, whose sum is σ = 2467782720. Its totient is φ = 256481280.

The previous prime is 814738741. The next prime is 814738763. The reversal of 814738752 is 257837418.

It is an interprime number because it is at equal distance from previous prime (814738741) and next prime (814738763).

It is a junction number, because it is equal to n+sod(n) for n = 814738698 and 814738707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178727 + ... + 1179417.

Almost surely, 2^814738752 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 814738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233891360).

814738752 is an abundant number, since it is smaller than the sum of its proper divisors (1653043968).

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

814738752 is a wasteful number, since it uses less digits than its factorization.

814738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 814738752 is about 28543.6289213548. The cubic root of 814738752 is about 933.9840459961.

The spelling of 814738752 in words is "eight hundred fourteen million, seven hundred thirty-eight thousand, seven hundred fifty-two".