77232113280 has 1280 divisors, whose sum is σ = 335899872000. Its totient is φ = 16535715840.

The previous prime is 77232113249. The next prime is 77232113297. The reversal of 77232113280 is 8231123277.

77232113280 is a `hidden beast` number, since 7 + 7 + 2 + 321 + 1 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 431464231 + ... + 431464409.

It is an arithmetic number, because the mean of its divisors is an integer number (262421775).

Almost surely, 2^77232113280 is an apocalyptic number.

77232113280 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 77232113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167949936000).

77232113280 is an abundant number, since it is smaller than the sum of its proper divisors (258667758720).

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

77232113280 is a wasteful number, since it uses less digits than its factorization.

77232113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 77232113280 in words is "seventy-seven billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred eighty".