77411622960 has 720 divisors, whose sum is σ = 321996819456. Its totient is φ = 16560488448.

The previous prime is 77411622947. The next prime is 77411622973. The reversal of 77411622960 is 6922611477.

77411622960 is a `hidden beast` number, since 7 + 7 + 4 + 11 + 622 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77411622947) and next prime (77411622973).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202118929 + ... + 202119311.

Almost surely, 2^77411622960 is an apocalyptic number.

77411622960 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 77411622960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160998409728).

77411622960 is an abundant number, since it is smaller than the sum of its proper divisors (244585196496).

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

77411622960 is a wasteful number, since it uses less digits than its factorization.

77411622960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77411622960 in words is "seventy-seven billion, four hundred eleven million, six hundred twenty-two thousand, nine hundred sixty".