1832878080 has 384 divisors, whose sum is σ = 6992846640. Its totient is φ = 440401920.

The previous prime is 1832878057. The next prime is 1832878121. The reversal of 1832878080 is 808782381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1832878080² = 6718884112288972800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220104 + ... + 16220216.

Almost surely, 2^1832878080 is an apocalyptic number.

1832878080 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 1832878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496423320).

1832878080 is an abundant number, since it is smaller than the sum of its proper divisors (5159968560).

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

1832878080 is a wasteful number, since it uses less digits than its factorization.

1832878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1832878080 is about 42812.1253852224. The cubic root of 1832878080 is about 1223.8020953901.

The spelling of 1832878080 in words is "one billion, eight hundred thirty-two million, eight hundred seventy-eight thousand, eighty".