796149000 has 160 divisors (see below), whose sum is σ = 2783266200. Its totient is φ = 212284800.

The previous prime is 796148993. The next prime is 796149073. The reversal of 796149000 is 941697.

It can be written as a sum of positive squares in 4 ways, for example, as 420332004 + 375816996 = 20502^2 + 19386^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76086 + ... + 85914.

Almost surely, 2^796149000 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 796149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391633100).

796149000 is an abundant number, since it is smaller than the sum of its proper divisors (1987117200).

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

796149000 is a wasteful number, since it uses less digits than its factorization.

796149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 796149000 is about 28216.1124182620. The cubic root of 796149000 is about 926.8258069652.

The spelling of 796149000 in words is "seven hundred ninety-six million, one hundred forty-nine thousand".