77709434880 has 896 divisors, whose sum is σ = 318881857536. Its totient is φ = 15689318400.

The previous prime is 77709434851. The next prime is 77709434897. The reversal of 77709434880 is 8843490777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×77709434880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77709434880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406855585 + ... + 406855775.

Almost surely, 2^77709434880 is an apocalyptic number.

77709434880 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 77709434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159440928768).

77709434880 is an abundant number, since it is smaller than the sum of its proper divisors (241172422656).

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

77709434880 is a wasteful number, since it uses less digits than its factorization.

77709434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 77709434880 in words is "seventy-seven billion, seven hundred nine million, four hundred thirty-four thousand, eight hundred eighty".