800261451 has 72 divisors (see below), whose sum is σ = 1396008432. Its totient is φ = 456192000.

The previous prime is 800261447. The next prime is 800261509. The reversal of 800261451 is 154162008.

It is not a de Polignac number, because 800261451 - 2² = 800261447 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (800261401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499051 + ... + 500651.

It is an arithmetic number, because the mean of its divisors is an integer number (19389006).

Almost surely, 2^800261451 is an apocalyptic number.

800261451 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

800261451 is a deficient number, since it is larger than the sum of its proper divisors (595746981).

800261451 is a wasteful number, since it uses less digits than its factorization.

800261451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 800261451 is about 28288.8927142792. The cubic root of 800261451 is about 928.4188847113.

The spelling of 800261451 in words is "eight hundred million, two hundred sixty-one thousand, four hundred fifty-one".