801571680 has 384 divisors, whose sum is σ = 3454617600. Its totient is φ = 169039872.

The previous prime is 801571669. The next prime is 801571703. The reversal of 801571680 is 86175108.

801571680 is a `hidden beast` number, since 8 + 0 + 1 + 571 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392101 + ... + 394139.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2^801571680 is an apocalyptic number.

801571680 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 801571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

801571680 is an abundant number, since it is smaller than the sum of its proper divisors (2653045920).

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

801571680 is a wasteful number, since it uses less digits than its factorization.

801571680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 801571680 is about 28312.0412545616. The cubic root of 801571680 is about 928.9252934086.

The spelling of 801571680 in words is "eight hundred one million, five hundred seventy-one thousand, six hundred eighty".