153778080 has 96 divisors (see below), whose sum is σ = 486864000. Its totient is φ = 40799232.

The previous prime is 153778067. The next prime is 153778081. The reversal of 153778080 is 80877351.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (153778081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109221 + ... + 110619.

It is an arithmetic number, because the mean of its divisors is an integer number (5071500).

Almost surely, 2^153778080 is an apocalyptic number.

153778080 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 153778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432000).

153778080 is an abundant number, since it is smaller than the sum of its proper divisors (333085920).

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

153778080 is a wasteful number, since it uses less digits than its factorization.

153778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 153778080 is about 12400.7290108284. The cubic root of 153778080 is about 535.7532464871.

The spelling of 153778080 in words is "one hundred fifty-three million, seven hundred seventy-eight thousand, eighty".