77024424960 has 1056 divisors, whose sum is σ = 324610312320. Its totient is φ = 17266507776.

The previous prime is 77024424949. The next prime is 77024425039. The reversal of 77024424960 is 6942442077.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562222012 + ... + 562222148.

Almost surely, 2^77024424960 is an apocalyptic number.

77024424960 is a gapful number since it is divisible by the number (70) 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 77024424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162305156160).

77024424960 is an abundant number, since it is smaller than the sum of its proper divisors (247585887360).

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

77024424960 is a wasteful number, since it uses less digits than its factorization.

77024424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 77024424960 in words is "seventy-seven billion, twenty-four million, four hundred twenty-four thousand, nine hundred sixty".