1329977880 has 384 divisors, whose sum is σ = 5591738880. Its totient is φ = 276203520.

The previous prime is 1329977851. The next prime is 1329977899. The reversal of 1329977880 is 887799231.

It is a super-2 number, since 2×1329977880² = 3537682322578588800, which contains 22 as substring.

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

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, 747552 + ... + 749328.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2^1329977880 is an apocalyptic number.

1329977880 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 1329977880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795869440).

1329977880 is an abundant number, since it is smaller than the sum of its proper divisors (4261761000).

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

1329977880 is a wasteful number, since it uses less digits than its factorization.

1329977880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1329977880 is about 36468.8617864611. The cubic root of 1329977880 is about 1099.7183521345.

The spelling of 1329977880 in words is "one billion, three hundred twenty-nine million, nine hundred seventy-seven thousand, eight hundred eighty".