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80451840 = 283574173

80451840 has 288 divisors, whose sum is σ = 304932096. Its totient is φ = 17694720.

The previous prime is 80451821. The next prime is 80451841. The reversal of 80451840 is 4815408.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80451798 and 80451807.

It is not an unprimeable number, because it can be changed into a prime (80451841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102044 + ... + 1102116.

It is an arithmetic number, because the mean of its divisors is an integer number (1058792).

Almost surely, 280451840 is an apocalyptic number.

80451840 is a gapful number since it is divisible by the number (80) 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 80451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152466048).

80451840 is an abundant number, since it is smaller than the sum of its proper divisors (224480256).

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

80451840 is a wasteful number, since it uses less digits than its factorization.

80451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 80451840 is about 8969.4949690604. The cubic root of 80451840 is about 431.6966320056.

The spelling of 80451840 in words is "eighty million, four hundred fifty-one thousand, eight hundred forty".