79146760 has 96 divisors (see below), whose sum is σ = 226048320. Its totient is φ = 24662400.

The previous prime is 79146757. The next prime is 79146763. The reversal of 79146760 is 6764197.

It is an interprime number because it is at equal distance from previous prime (79146757) and next prime (79146763).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (79146763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19725 + ... + 23395.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2^79146760 is an apocalyptic number.

79146760 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 79146760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160).

79146760 is an abundant number, since it is smaller than the sum of its proper divisors (146901560).

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

79146760 is a wasteful number, since it uses less digits than its factorization.

79146760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 79146760 is about 8896.4464816015. The cubic root of 79146760 is about 429.3495845560.

The spelling of 79146760 in words is "seventy-nine million, one hundred forty-six thousand, seven hundred sixty".