76027697280 has 512 divisors, whose sum is σ = 277603200000. Its totient is φ = 19652935680.

The previous prime is 76027697267. The next prime is 76027697297. The reversal of 76027697280 is 8279672067.

76027697280 is a `hidden beast` number, since 7 + 6 + 0 + 276 + 97 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169326496 + ... + 169326944.

It is an arithmetic number, because the mean of its divisors is an integer number (542193750).

Almost surely, 2^76027697280 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 76027697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600000).

76027697280 is an abundant number, since it is smaller than the sum of its proper divisors (201575502720).

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

76027697280 is a wasteful number, since it uses less digits than its factorization.

76027697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 76027697280 in words is "seventy-six billion, twenty-seven million, six hundred ninety-seven thousand, two hundred eighty".