157217760 has 240 divisors, whose sum is σ = 634477536. Its totient is φ = 35914752.

The previous prime is 157217743. The next prime is 157217777. The reversal of 157217760 is 67712751.

157217760 is a `hidden beast` number, since 1 + 572 + 17 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157217743) and next prime (157217777).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89854 + ... + 91586.

Almost surely, 2^157217760 is an apocalyptic number.

157217760 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 157217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317238768).

157217760 is an abundant number, since it is smaller than the sum of its proper divisors (477259776).

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

157217760 is a wasteful number, since it uses less digits than its factorization.

157217760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 157217760 is about 12538.6506451053. The cubic root of 157217760 is about 539.7183716653.

The spelling of 157217760 in words is "one hundred fifty-seven million, two hundred seventeen thousand, seven hundred sixty".