77001466752 has 384 divisors, whose sum is σ = 263846419200. Its totient is φ = 21897216000.

The previous prime is 77001466733. The next prime is 77001466777. The reversal of 77001466752 is 25766410077.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×77001466752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77001466698 and 77001466707.

It is a congruent number.

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, 54649024 + ... + 54650432.

It is an arithmetic number, because the mean of its divisors is an integer number (687100050).

Almost surely, 2^77001466752 is an apocalyptic number.

77001466752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77001466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131923209600).

77001466752 is an abundant number, since it is smaller than the sum of its proper divisors (186844952448).

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

77001466752 is a wasteful number, since it uses less digits than its factorization.

77001466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77001466752 in words is "seventy-seven billion, one million, four hundred sixty-six thousand, seven hundred fifty-two".