157784480 has 96 divisors (see below), whose sum is σ = 451132416. Its totient is φ = 50909184.

The previous prime is 157784479. The next prime is 157784503. The reversal of 157784480 is 84487751.

It is an unprimeable number.

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, 14897 + ... + 23183.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296).

Almost surely, 2^157784480 is an apocalyptic number.

157784480 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 157784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225566208).

157784480 is an abundant number, since it is smaller than the sum of its proper divisors (293347936).

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

157784480 is a wasteful number, since it uses less digits than its factorization.

157784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The square root of 157784480 is about 12561.2292392106. The cubic root of 157784480 is about 540.3660983374.

The spelling of 157784480 in words is "one hundred fifty-seven million, seven hundred eighty-four thousand, four hundred eighty".