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1808040780 = 223257131743151

1808040780 has 576 divisors, whose sum is σ = 7361722368. Its totient is φ = 348364800.

The previous prime is 1808040749. The next prime is 1808040799. The reversal of 1808040780 is 870408081.

1808040780 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×18080407802 = 6538022924286016800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11973705 + ... + 11973855.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 21808040780 is an apocalyptic number.

1808040780 is a gapful number since it is divisible by the number (10) 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 1808040780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680861184).

1808040780 is an abundant number, since it is smaller than the sum of its proper divisors (5553681588).

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

1808040780 is a wasteful number, since it uses less digits than its factorization.

1808040780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1808040780 is about 42521.0627806973. The cubic root of 1808040780 is about 1218.2490289743.

The spelling of 1808040780 in words is "one billion, eight hundred eight million, forty thousand, seven hundred eighty".