193878880 has 96 divisors (see below), whose sum is σ = 522383904. Its totient is φ = 67362816.

The previous prime is 193878859. The next prime is 193878887. The reversal of 193878880 is 88878391.

193878880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×193878880² = 75178040220108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193878887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32619 + ... + 38101.

It is an arithmetic number, because the mean of its divisors is an integer number (5441499).

Almost surely, 2^193878880 is an apocalyptic number.

193878880 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 193878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261191952).

193878880 is an abundant number, since it is smaller than the sum of its proper divisors (328505024).

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

193878880 is a wasteful number, since it uses less digits than its factorization.

193878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The square root of 193878880 is about 13924.0396437241. The cubic root of 193878880 is about 578.7755380913.

The spelling of 193878880 in words is "one hundred ninety-three million, eight hundred seventy-eight thousand, eight hundred eighty".