77258797056 has 624 divisors, whose sum is σ = 272288498400. Its totient is φ = 21576941568.

The previous prime is 77258797051. The next prime is 77258797061. The reversal of 77258797056 is 65079785277.

It is an interprime number because it is at equal distance from previous prime (77258797051) and next prime (77258797061).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 77258796984 and 77258797002.

It is not an unprimeable number, because it can be changed into a prime (77258797051) 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, 287207290 + ... + 287207558.

Almost surely, 2^77258797056 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 77258797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136144249200).

77258797056 is an abundant number, since it is smaller than the sum of its proper divisors (195029701344).

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

77258797056 is a wasteful number, since it uses less digits than its factorization.

77258797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 77258797056 in words is "seventy-seven billion, two hundred fifty-eight million, seven hundred ninety-seven thousand, fifty-six".