1878465816 has 72 divisors (see below), whose sum is σ = 5281310580. Its totient is φ = 625518288.

The previous prime is 1878465791. The next prime is 1878465817. The reversal of 1878465816 is 6185648781.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1878465816 is a `hidden beast` number, since 18 + 7 + 8 + 46 + 581 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1878465817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1910461 + ... + 1911443.

Almost surely, 2^1878465816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1878465816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640655290).

1878465816 is an abundant number, since it is smaller than the sum of its proper divisors (3402844764).

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

1878465816 is an frugal number, since it uses more digits than its factorization.

1878465816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 988 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 1878465816 is about 43341.2715088056. The cubic root of 1878465816 is about 1233.8653417170.

Multiplying 1878465816 by its sum of digits (54), we get a square (101437154064 = 318492²).

1878465816 divided by its sum of digits (54) gives a square (34786404 = 5898²).

The spelling of 1878465816 in words is "one billion, eight hundred seventy-eight million, four hundred sixty-five thousand, eight hundred sixteen".