1809077440 has 112 divisors (see below), whose sum is σ = 4673096064. Its totient is φ = 664371200.

The previous prime is 1809077429. The next prime is 1809077441. The reversal of 1809077440 is 447709081.

It is a super-2 number, since 2×1809077440² = 6545522367833907200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1809077393 and 1809077402.

It is not an unprimeable number, because it can be changed into a prime (1809077441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218985 + ... + 227095.

It is an arithmetic number, because the mean of its divisors is an integer number (41724072).

Almost surely, 2^1809077440 is an apocalyptic number.

1809077440 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 1809077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336548032).

1809077440 is an abundant number, since it is smaller than the sum of its proper divisors (2864018624).

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

1809077440 is a wasteful number, since it uses less digits than its factorization.

1809077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1809077440 is about 42533.2509926058. The cubic root of 1809077440 is about 1218.4818166344.

The spelling of 1809077440 in words is "one billion, eight hundred nine million, seventy-seven thousand, four hundred forty".