76671360 has 384 divisors, whose sum is σ = 300736800. Its totient is φ = 18579456.

The previous prime is 76671323. The next prime is 76671367. The reversal of 76671360 is 6317667.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 870 × 102 × 864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76671367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643826 + ... + 2643854.

Almost surely, 2^76671360 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 76671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

76671360 is an abundant number, since it is smaller than the sum of its proper divisors (224065440).

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

76671360 is a wasteful number, since it uses less digits than its factorization.

76671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

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

The square root of 76671360 is about 8756.2183618272. The cubic root of 76671360 is about 424.8259679615.

The spelling of 76671360 in words is "seventy-six million, six hundred seventy-one thousand, three hundred sixty".