1813397760 has 288 divisors, whose sum is σ = 6498938880. Its totient is φ = 478789632.

The previous prime is 1813397737. The next prime is 1813397777. The reversal of 1813397760 is 677933181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1813397760² = 6576822871946035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734529 + ... + 4734911.

It is an arithmetic number, because the mean of its divisors is an integer number (22565760).

Almost surely, 2^1813397760 is an apocalyptic number.

1813397760 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 1813397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249469440).

1813397760 is an abundant number, since it is smaller than the sum of its proper divisors (4685541120).

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

1813397760 is a wasteful number, since it uses less digits than its factorization.

1813397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1813397760 is about 42584.0082660146. The cubic root of 1813397760 is about 1219.4510116197.

The spelling of 1813397760 in words is "one billion, eight hundred thirteen million, three hundred ninety-seven thousand, seven hundred sixty".