801957240 has 512 divisors, whose sum is σ = 3256934400. Its totient is φ = 171694080.

The previous prime is 801957227. The next prime is 801957251. The reversal of 801957240 is 42759108.

801957240 is a `hidden beast` number, since 80 + 1 + 9 + 572 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 801957195 and 801957204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13146810 + ... + 13146870.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^801957240 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 801957240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628467200).

801957240 is an abundant number, since it is smaller than the sum of its proper divisors (2454977160).

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

801957240 is a wasteful number, since it uses less digits than its factorization.

801957240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 801957240 is about 28318.8495529038. The cubic root of 801957240 is about 929.0742087772.

The spelling of 801957240 in words is "eight hundred one million, nine hundred fifty-seven thousand, two hundred forty".