1787116905 has 64 divisors (see below), whose sum is σ = 3788881920. Its totient is φ = 781437888.

The previous prime is 1787116867. The next prime is 1787116957. The reversal of 1787116905 is 5096117871.

It is not a de Polignac number, because 1787116905 - 2⁷ = 1787116777 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 19377 + ... + 62846.

It is an arithmetic number, because the mean of its divisors is an integer number (59201280).

Almost surely, 2^1787116905 is an apocalyptic number.

1787116905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1787116905 is an abundant number, since it is smaller than the sum of its proper divisors (2001765015).

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

1787116905 is a wasteful number, since it uses less digits than its factorization.

1787116905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82267 (or 82261 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The square root of 1787116905 is about 42274.3054939995. The cubic root of 1787116905 is about 1213.5313148451.

The spelling of 1787116905 in words is "one billion, seven hundred eighty-seven million, one hundred sixteen thousand, nine hundred five".