77720414464 has 288 divisors, whose sum is σ = 200996167680. Its totient is φ = 29107814400.

The previous prime is 77720414461. The next prime is 77720414467. The reversal of 77720414464 is 46441402777.

It is an interprime number because it is at equal distance from previous prime (77720414461) and next prime (77720414467).

It is not an unprimeable number, because it can be changed into a prime (77720414461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117936567 + ... + 117937225.

It is an arithmetic number, because the mean of its divisors is an integer number (697903360).

Almost surely, 2^77720414464 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 77720414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100498083840).

77720414464 is an abundant number, since it is smaller than the sum of its proper divisors (123275753216).

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

77720414464 is a wasteful number, since it uses less digits than its factorization.

77720414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 46.

The spelling of 77720414464 in words is "seventy-seven billion, seven hundred twenty million, four hundred fourteen thousand, four hundred sixty-four".