76786077456 has 240 divisors, whose sum is σ = 238025598720. Its totient is φ = 22913280000.

The previous prime is 76786077427. The next prime is 76786077491. The reversal of 76786077456 is 65477068767.

It is a happy number.

It is a super-2 number, since 2×76786077456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76786077393 and 76786077402.

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, 75206226 + ... + 75207246.

It is an arithmetic number, because the mean of its divisors is an integer number (991773328).

Almost surely, 2^76786077456 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 76786077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119012799360).

76786077456 is an abundant number, since it is smaller than the sum of its proper divisors (161239521264).

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

76786077456 is a wasteful number, since it uses less digits than its factorization.

76786077456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 76786077456 in words is "seventy-six billion, seven hundred eighty-six million, seventy-seven thousand, four hundred fifty-six".