77406658560 has 1344 divisors, whose sum is σ = 350362381824. Its totient is φ = 15925248000.

The previous prime is 77406658529. The next prime is 77406658591. The reversal of 77406658560 is 6585660477.

77406658560 is a `hidden beast` number, since 7 + 74 + 0 + 6 + 6 + 5 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (77406658529) and next prime (77406658591).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77406658497 and 77406658506.

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, 766402510 + ... + 766402610.

It is an arithmetic number, because the mean of its divisors is an integer number (260686296).

Almost surely, 2^77406658560 is an apocalyptic number.

77406658560 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 77406658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175181190912).

77406658560 is an abundant number, since it is smaller than the sum of its proper divisors (272955723264).

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

77406658560 is a wasteful number, since it uses less digits than its factorization.

77406658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 77406658560 in words is "seventy-seven billion, four hundred six million, six hundred fifty-eight thousand, five hundred sixty".