76361760 has 144 divisors (see below), whose sum is σ = 274397760. Its totient is φ = 19284480.

The previous prime is 76361749. The next prime is 76361767. The reversal of 76361760 is 6716367.

76361760 is a `hidden beast` number, since 7 + 636 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×76361760² = 11662236780595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76361767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25965 + ... + 28755.

It is an arithmetic number, because the mean of its divisors is an integer number (1905540).

Almost surely, 2^76361760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137198880).

76361760 is an abundant number, since it is smaller than the sum of its proper divisors (198036000).

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

76361760 is a wasteful number, since it uses less digits than its factorization.

76361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 76361760 is about 8738.5216140947. The cubic root of 76361760 is about 424.2533788719.

The spelling of 76361760 in words is "seventy-six million, three hundred sixty-one thousand, seven hundred sixty".