1535798880 has 864 divisors, whose sum is σ = 7142204160. Its totient is φ = 302330880.

The previous prime is 1535798843. The next prime is 1535798881. The reversal of 1535798880 is 888975351.

It is a tau number, because it is divible by the number of its divisors (864).

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 (1535798881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80831511 + ... + 80831529.

It is an arithmetic number, because the mean of its divisors is an integer number (8266440).

Almost surely, 2^1535798880 is an apocalyptic number.

1535798880 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 1535798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571102080).

1535798880 is an abundant number, since it is smaller than the sum of its proper divisors (5606405280).

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

1535798880 is an equidigital number, since it uses as much as digits as its factorization.

1535798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 1535798880 is about 39189.2699600286. The cubic root of 1535798880 is about 1153.7492955003.

The spelling of 1535798880 in words is "one billion, five hundred thirty-five million, seven hundred ninety-eight thousand, eight hundred eighty".