80225462340 has 192 divisors, whose sum is σ = 268844728320. Its totient is φ = 19803104640.

The previous prime is 80225462333. The next prime is 80225462381. The reversal of 80225462340 is 4326452208.

80225462340 is a `hidden beast` number, since 8 + 0 + 2 + 25 + 4 + 623 + 4 + 0 = 666.

It is a super-2 number, since 2×80225462340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80225462295 and 80225462304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280837 + ... + 489203.

It is an arithmetic number, because the mean of its divisors is an integer number (1400232960).

Almost surely, 2^80225462340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80225462340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134422364160).

80225462340 is an abundant number, since it is smaller than the sum of its proper divisors (188619265980).

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

80225462340 is a wasteful number, since it uses less digits than its factorization.

80225462340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208439 (or 208431 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 80225462340 in words is "eighty billion, two hundred twenty-five million, four hundred sixty-two thousand, three hundred forty".