1177993920 has 448 divisors, whose sum is σ = 4345228800. Its totient is φ = 268369920.

The previous prime is 1177993909. The next prime is 1177993951. The reversal of 1177993920 is 293997711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1177993920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8992255 + ... + 8992385.

Almost surely, 2^1177993920 is an apocalyptic number.

1177993920 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 1177993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172614400).

1177993920 is an abundant number, since it is smaller than the sum of its proper divisors (3167234880).

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

1177993920 is a wasteful number, since it uses less digits than its factorization.

1177993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 48.

The square root of 1177993920 is about 34321.9160304316. The cubic root of 1177993920 is about 1056.1226326820.

The spelling of 1177993920 in words is "one billion, one hundred seventy-seven million, nine hundred ninety-three thousand, nine hundred twenty".