153794880 has 84 divisors (see below), whose sum is σ = 529000212. Its totient is φ = 41011200.

The previous prime is 153794863. The next prime is 153794881. The reversal of 153794880 is 88497351.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 113039424 = 6384^2 + 10632^2 .

It is a super-2 number, since 2×153794880² = 47305730228428800, which contains 22 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 not an unprimeable number, because it can be changed into a prime (153794881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23821 + ... + 29580.

Almost surely, 2^153794880 is an apocalyptic number.

153794880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153794880 is an abundant number, since it is smaller than the sum of its proper divisors (375205332).

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

153794880 is a wasteful number, since it uses less digits than its factorization.

153794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53424 (or 53411 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 153794880 is about 12401.4063718596. The cubic root of 153794880 is about 535.7727558276.

The spelling of 153794880 in words is "one hundred fifty-three million, seven hundred ninety-four thousand, eight hundred eighty".