157764480 has 128 divisors (see below), whose sum is σ = 507617280. Its totient is φ = 41674752.

The previous prime is 157764473. The next prime is 157764493. The reversal of 157764480 is 84467751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×157764480² = 49779262299340800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243517 + ... + 244163.

It is an arithmetic number, because the mean of its divisors is an integer number (3965760).

Almost surely, 2^157764480 is an apocalyptic number.

157764480 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 157764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253808640).

157764480 is an abundant number, since it is smaller than the sum of its proper divisors (349852800).

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

157764480 is a wasteful number, since it uses less digits than its factorization.

157764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 157764480 is about 12560.4331135515. The cubic root of 157764480 is about 540.3432659722.

The spelling of 157764480 in words is "one hundred fifty-seven million, seven hundred sixty-four thousand, four hundred eighty".