77446582476480 has 2016 divisors, whose sum is σ = 327285800404992. Its totient is φ = 16738231910400.

The previous prime is 77446582476469. The next prime is 77446582476481. The reversal of 77446582476480 is 8467428564477.

It is a happy number.

77446582476480 is a `hidden beast` number, since 7 + 7 + 4 + 4 + 6 + 58 + 24 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77446582476399 and 77446582476408.

It is not an unprimeable number, because it can be changed into a prime (77446582476481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38396916432 + ... + 38396918448.

Almost surely, 2^{77446582476480} is an apocalyptic number.

77446582476480 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 77446582476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163642900202496).

77446582476480 is an abundant number, since it is smaller than the sum of its proper divisors (249839217928512).

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

77446582476480 is a wasteful number, since it uses less digits than its factorization.

77446582476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 72.

The spelling of 77446582476480 in words is "seventy-seven trillion, four hundred forty-six billion, five hundred eighty-two million, four hundred seventy-six thousand, four hundred eighty".