79461000 has 224 divisors, whose sum is σ = 281338200. Its totient is φ = 20995200.

The previous prime is 79460989. The next prime is 79461007. The reversal of 79461000 is 16497.

It can be written as a sum of positive squares in 4 ways, for example, as 30935844 + 48525156 = 5562^2 + 6966^2 .

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 (79461007) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 728946 + ... + 729054.

Almost surely, 2^79461000 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 79461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140669100).

79461000 is an abundant number, since it is smaller than the sum of its proper divisors (201877200).

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

79461000 is a wasteful number, since it uses less digits than its factorization.

79461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 79461000 is about 8914.0899703784. The cubic root of 79461000 is about 429.9170562932.

Adding to 79461000 its reverse (16497), we get a palindrome (79477497).

The spelling of 79461000 in words is "seventy-nine million, four hundred sixty-one thousand".