157782240 has 288 divisors, whose sum is σ = 671763456. Its totient is φ = 32762880.

The previous prime is 157782223. The next prime is 157782263. The reversal of 157782240 is 42287751.

157782240 is a `hidden beast` number, since 1 + 577 + 82 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157782195 and 157782204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110169 + ... + 111591.

It is an arithmetic number, because the mean of its divisors is an integer number (2332512).

Almost surely, 2^157782240 is an apocalyptic number.

157782240 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 157782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335881728).

157782240 is an abundant number, since it is smaller than the sum of its proper divisors (513981216).

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

157782240 is a wasteful number, since it uses less digits than its factorization.

157782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 157782240 is about 12561.1400756460. The cubic root of 157782240 is about 540.3635412085.

The spelling of 157782240 in words is "one hundred fifty-seven million, seven hundred eighty-two thousand, two hundred forty".