800415864 has 32 divisors (see below), whose sum is σ = 2223378000. Its totient is φ = 266805216.

The previous prime is 800415859. The next prime is 800415881. The reversal of 800415864 is 468514008.

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 7 ways as a sum of consecutive naturals, for example, 1852599 + ... + 1853030.

Almost surely, 2^800415864 is an apocalyptic number.

It is an amenable number.

800415864 is an abundant number, since it is smaller than the sum of its proper divisors (1422962136).

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

800415864 is a wasteful number, since it uses less digits than its factorization.

800415864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705644 (or 3705634 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 800415864 is about 28291.6217986880. The cubic root of 800415864 is about 928.4785946663.

It can be divided in two parts, 80041 and 5864, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 800415864 in words is "eight hundred million, four hundred fifteen thousand, eight hundred sixty-four".