77406563520 has 1792 divisors, whose sum is σ = 346073333760. Its totient is φ = 16024780800.

The previous prime is 77406563497. The next prime is 77406563543. The reversal of 77406563520 is 2536560477.

77406563520 is a `hidden beast` number, since 7 + 7 + 4 + 0 + 6 + 5 + 635 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77406563497) and next prime (77406563543).

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 255 ways as a sum of consecutive naturals, for example, 1646948137 + ... + 1646948183.

It is an arithmetic number, because the mean of its divisors is an integer number (193121280).

Almost surely, 2^77406563520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77406563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173036666880).

77406563520 is an abundant number, since it is smaller than the sum of its proper divisors (268666770240).

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

77406563520 is a wasteful number, since it uses less digits than its factorization.

77406563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 77406563520 in words is "seventy-seven billion, four hundred six million, five hundred sixty-three thousand, five hundred twenty".