1670788080 has 480 divisors, whose sum is σ = 6535296000. Its totient is φ = 391412736.

The previous prime is 1670788061. The next prime is 1670788111. The reversal of 1670788080 is 808870761.

It is a super-3 number, since 3×1670788080³ (a number of 29 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 8395821 + ... + 8396019.

It is an arithmetic number, because the mean of its divisors is an integer number (13615200).

Almost surely, 2^1670788080 is an apocalyptic number.

1670788080 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 1670788080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267648000).

1670788080 is an abundant number, since it is smaller than the sum of its proper divisors (4864507920).

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

1670788080 is a wasteful number, since it uses less digits than its factorization.

1670788080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1670788080 is about 40875.2746779762. The cubic root of 1670788080 is about 1186.6075922001.

The spelling of 1670788080 in words is "one billion, six hundred seventy million, seven hundred eighty-eight thousand, eighty".