157759440 has 80 divisors (see below), whose sum is σ = 492676800. Its totient is φ = 41757696.

The previous prime is 157759417. The next prime is 157759447. The reversal of 157759440 is 44957751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×157759440² = 49776081818227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157759392 and 157759401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157759447) 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, 30996 + ... + 35724.

It is an arithmetic number, because the mean of its divisors is an integer number (6158460).

Almost surely, 2^157759440 is an apocalyptic number.

157759440 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 157759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246338400).

157759440 is an abundant number, since it is smaller than the sum of its proper divisors (334917360).

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

157759440 is a wasteful number, since it uses less digits than its factorization.

157759440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 157759440 is about 12560.2324819248. The cubic root of 157759440 is about 540.3375119118.

The spelling of 157759440 in words is "one hundred fifty-seven million, seven hundred fifty-nine thousand, four hundred forty".