157767680 has 192 divisors, whose sum is σ = 452874240. Its totient is φ = 51609600.

The previous prime is 157767677. The next prime is 157767683. The reversal of 157767680 is 86767751.

It is an interprime number because it is at equal distance from previous prime (157767677) and next prime (157767683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157767683) 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, 2222045 + ... + 2222115.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^157767680 is an apocalyptic number.

157767680 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 157767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

157767680 is an abundant number, since it is smaller than the sum of its proper divisors (295106560).

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

157767680 is an equidigital number, since it uses as much as digits as its factorization.

157767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The square root of 157767680 is about 12560.5604970479. The cubic root of 157767680 is about 540.3469192803.

The spelling of 157767680 in words is "one hundred fifty-seven million, seven hundred sixty-seven thousand, six hundred eighty".