79094400 has 384 divisors, whose sum is σ = 327836160. Its totient is φ = 16281600.

The previous prime is 79094399. The next prime is 79094417. The reversal of 79094400 is 449097.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×79094400² = 12511848222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 739147 + ... + 739253.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^79094400 is an apocalyptic number.

79094400 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 79094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

79094400 is an abundant number, since it is smaller than the sum of its proper divisors (248741760).

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

79094400 is a wasteful number, since it uses less digits than its factorization.

79094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 79094400 is about 8893.5032467527. The cubic root of 79094400 is about 429.2548840971.

The spelling of 79094400 in words is "seventy-nine million, ninety-four thousand, four hundred".