1117857780 has 576 divisors, whose sum is σ = 4332384000. Its totient is φ = 236888064.

The previous prime is 1117857773. The next prime is 1117857791. The reversal of 1117857780 is 877587111.

1117857780 is a `hidden beast` number, since 1 + 1 + 1 + 78 + 577 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38546806 + ... + 38546834.

It is an arithmetic number, because the mean of its divisors is an integer number (7521500).

Almost surely, 2^1117857780 is an apocalyptic number.

1117857780 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 1117857780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166192000).

1117857780 is an abundant number, since it is smaller than the sum of its proper divisors (3214526220).

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

1117857780 is a wasteful number, since it uses less digits than its factorization.

1117857780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 45.

The square root of 1117857780 is about 33434.3802095986. The cubic root of 1117857780 is about 1037.8362867870.

The spelling of 1117857780 in words is "one billion, one hundred seventeen million, eight hundred fifty-seven thousand, seven hundred eighty".