800150400 has 672 divisors, whose sum is σ = 3456066000. Its totient is φ = 182891520.

The previous prime is 800150357. The next prime is 800150459. The reversal of 800150400 is 4051008.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 114307197 + ... + 114307203.

Almost surely, 2^800150400 is an apocalyptic number.

800150400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728033000).

800150400 is an abundant number, since it is smaller than the sum of its proper divisors (2655915600).

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

800150400 is an frugal number, since it uses more digits than its factorization.

800150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 800150400 is about 28286.9298440110. The cubic root of 800150400 is about 928.3759376574.

Multiplying 800150400 by its product of nonzero digits (160), we get a cube (128024064000 = 5040³).

The spelling of 800150400 in words is "eight hundred million, one hundred fifty thousand, four hundred".