157607680 has 72 divisors (see below), whose sum is σ = 399781872. Its totient is φ = 59326464.

The previous prime is 157607617. The next prime is 157607687. The reversal of 157607680 is 86706751.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157607687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18139 + ... + 25381.

It is an arithmetic number, because the mean of its divisors is an integer number (5552526).

Almost surely, 2^157607680 is an apocalyptic number.

157607680 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 157607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199890936).

157607680 is an abundant number, since it is smaller than the sum of its proper divisors (242174192).

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

157607680 is an equidigital number, since it uses as much as digits as its factorization.

157607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 157607680 is about 12554.1897388880. The cubic root of 157607680 is about 540.1641933256.

The spelling of 157607680 in words is "one hundred fifty-seven million, six hundred seven thousand, six hundred eighty".