79101120 has 224 divisors, whose sum is σ = 292608000. Its totient is φ = 17731584.

The previous prime is 79101109. The next prime is 79101131. The reversal of 79101120 is 2110197.

79101120 = T₂₀₉ + T₂₁₀ + ... + T₇₈₄.

It is an interprime number because it is at equal distance from previous prime (79101109) and next prime (79101131).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530806 + ... + 530954.

Almost surely, 2^79101120 is an apocalyptic number.

79101120 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 79101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

79101120 is an abundant number, since it is smaller than the sum of its proper divisors (213506880).

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

79101120 is a wasteful number, since it uses less digits than its factorization.

79101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 79101120 is about 8893.8810426045. The cubic root of 79101120 is about 429.2670405040.

The spelling of 79101120 in words is "seventy-nine million, one hundred one thousand, one hundred twenty".