76676751360 has 840 divisors, whose sum is σ = 303726665088. Its totient is φ = 18490982400.

The previous prime is 76676751353. The next prime is 76676751373. The reversal of 76676751360 is 6315767667.

It is a happy number.

76676751360 is a `hidden beast` number, since 7 + 6 + 6 + 7 + 67 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76676751297 and 76676751306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 401448865 + ... + 401449055.

Almost surely, 2^76676751360 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 76676751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151863332544).

76676751360 is an abundant number, since it is smaller than the sum of its proper divisors (227049913728).

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

76676751360 is a wasteful number, since it uses less digits than its factorization.

76676751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 76676751360 in words is "seventy-six billion, six hundred seventy-six million, seven hundred fifty-one thousand, three hundred sixty".