79610400 has 108 divisors (see below), whose sum is σ = 280751562. Its totient is φ = 21227520.

The previous prime is 79610393. The next prime is 79610407. The reversal of 79610400 is 401697.

79610400 is a `hidden beast` number, since 7 + 9 + 610 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79610393) and next prime (79610407).

It can be written as a sum of positive squares in 3 ways, for example, as 46294416 + 33315984 = 6804^2 + 5772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79610407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1672 + ... + 12728.

Almost surely, 2^79610400 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 79610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140375781).

79610400 is an abundant number, since it is smaller than the sum of its proper divisors (201141162).

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

79610400 is a wasteful number, since it uses less digits than its factorization.

79610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11067 counting only the distinct ones).

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

The square root of 79610400 is about 8922.4660268336. The cubic root of 79610400 is about 430.1863263169.

The spelling of 79610400 in words is "seventy-nine million, six hundred ten thousand, four hundred".