79402400 has 144 divisors (see below), whose sum is σ = 241859520. Its totient is φ = 24729600.

The previous prime is 79402373. The next prime is 79402409. The reversal of 79402400 is 420497.

It is a super-2 number, since 2×79402400² = 12609482251520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 79402400.

It is not an unprimeable number, because it can be changed into a prime (79402409) 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 23 ways as a sum of consecutive naturals, for example, 60956 + ... + 62244.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^79402400 is an apocalyptic number.

79402400 is a gapful number since it is divisible by the number (70) 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 79402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929760).

79402400 is an abundant number, since it is smaller than the sum of its proper divisors (162457120).

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

79402400 is a wasteful number, since it uses less digits than its factorization.

79402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 79402400 is about 8910.8024330023. The cubic root of 79402400 is about 429.8113468462.

Adding to 79402400 its reverse (420497), we get a palindrome (79822897).

The spelling of 79402400 in words is "seventy-nine million, four hundred two thousand, four hundred".