801157500 has 480 divisors, whose sum is σ = 3086012160. Its totient is φ = 177120000.

The previous prime is 801157493. The next prime is 801157501. The reversal of 801157500 is 5751108.

801157500 is a `hidden beast` number, since 8 + 0 + 1 + 157 + 500 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801157501) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9652459 + ... + 9652541.

It is an arithmetic number, because the mean of its divisors is an integer number (6429192).

Almost surely, 2^801157500 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 801157500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543006080).

801157500 is an abundant number, since it is smaller than the sum of its proper divisors (2284854660).

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

801157500 is a wasteful number, since it uses less digits than its factorization.

801157500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 801157500 is about 28304.7257538384. The cubic root of 801157500 is about 928.7652708873.

The spelling of 801157500 in words is "eight hundred one million, one hundred fifty-seven thousand, five hundred".