160784960400 has 405 divisors, whose sum is σ = 575439560787. Its totient is φ = 41573606400.

The previous prime is 160784960387. The next prime is 160784960429. The reversal of 160784960400 is 4069487061.

The square root of 160784960400 is 400980.

It is a perfect power (a square), and thus also a powerful number.

160784960400 is a `hidden beast` number, since 160 + 7 + 84 + 9 + 6 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67676981904 + 93107978496 = 260148^2 + 305136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 986410719 + ... + 986410881.

Almost surely, 2^160784960400 is an apocalyptic number.

160784960400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160784960400 is the 400980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160784960400

160784960400 is an abundant number, since it is smaller than the sum of its proper divisors (414654600387).

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

160784960400 is a wasteful number, since it uses less digits than its factorization.

160784960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 160784960400 in words is "one hundred sixty billion, seven hundred eighty-four million, nine hundred sixty thousand, four hundred".