79121700 has 216 divisors, whose sum is σ = 298800320. Its totient is φ = 17107200.

The previous prime is 79121663. The next prime is 79121737. The reversal of 79121700 is 712197.

It is an interprime number because it is at equal distance from previous prime (79121663) and next prime (79121737).

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 71 ways as a sum of consecutive naturals, for example, 119370 + ... + 120030.

Almost surely, 2^79121700 is an apocalyptic number.

79121700 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 79121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149400160).

79121700 is an abundant number, since it is smaller than the sum of its proper divisors (219678620).

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

79121700 is a wasteful number, since it uses less digits than its factorization.

79121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 79121700 is about 8895.0379425835. The cubic root of 79121700 is about 429.3042652177.

Adding to 79121700 its reverse (712197), we get a palindrome (79833897).

The spelling of 79121700 in words is "seventy-nine million, one hundred twenty-one thousand, seven hundred".