157789440 has 108 divisors (see below), whose sum is σ = 545974884. Its totient is φ = 42074112.

The previous prime is 157789421. The next prime is 157789447. The reversal of 157789440 is 44987751.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 133818624 = 4896^2 + 11568^2 .

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 (157789447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4672 + ... + 18368.

It is an arithmetic number, because the mean of its divisors is an integer number (5055323).

Almost surely, 2^157789440 is an apocalyptic number.

157789440 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 157789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272987442).

157789440 is an abundant number, since it is smaller than the sum of its proper divisors (388185444).

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

157789440 is a wasteful number, since it uses less digits than its factorization.

157789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13724 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 157789440 is about 12561.4266705657. The cubic root of 157789440 is about 540.3717604654.

The spelling of 157789440 in words is "one hundred fifty-seven million, seven hundred eighty-nine thousand, four hundred forty".