801415296 has 160 divisors (see below), whose sum is σ = 2602187280. Its totient is φ = 242818560.

The previous prime is 801415271. The next prime is 801415297. The reversal of 801415296 is 692514108.

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

It is a self number, because there is not a number n which added to its sum of digits gives 801415296.

It is not an unprimeable number, because it can be changed into a prime (801415297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110535 + ... + 117561.

Almost surely, 2^801415296 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 801415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301093640).

801415296 is an abundant number, since it is smaller than the sum of its proper divisors (1800771984).

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

801415296 is a wasteful number, since it uses less digits than its factorization.

801415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 801415296 is about 28309.2793267508. The cubic root of 801415296 is about 928.8648793891.

The spelling of 801415296 in words is "eight hundred one million, four hundred fifteen thousand, two hundred ninety-six".