1187761680 has 240 divisors, whose sum is σ = 4577564160. Its totient is φ = 270369792.

The previous prime is 1187761669. The next prime is 1187761691. The reversal of 1187761680 is 861677811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1187761669) and next prime (1187761691).

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333266 + ... + 2333774.

It is an arithmetic number, because the mean of its divisors is an integer number (19073184).

Almost surely, 2^1187761680 is an apocalyptic number.

1187761680 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 1187761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288782080).

1187761680 is an abundant number, since it is smaller than the sum of its proper divisors (3389802480).

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

1187761680 is a wasteful number, since it uses less digits than its factorization.

1187761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1187761680 is about 34463.9185235806. The cubic root of 1187761680 is about 1059.0336749344.

The spelling of 1187761680 in words is "one billion, one hundred eighty-seven million, seven hundred sixty-one thousand, six hundred eighty".