77478530028480 has 1344 divisors, whose sum is σ = 332735090688000. Its totient is φ = 16763830751232.

The previous prime is 77478530028469. The next prime is 77478530028481. The reversal of 77478530028480 is 8482003587477.

It is a happy number.

77478530028480 is a `hidden beast` number, since 7 + 7 + 4 + 78 + 530 + 0 + 28 + 4 + 8 + 0 = 666.

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

It is a super-2 number, since 2×77478530028480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77478530028481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18191716591 + ... + 18191720849.

It is an arithmetic number, because the mean of its divisors is an integer number (247570752000).

Almost surely, 2^{77478530028480} is an apocalyptic number.

77478530028480 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 77478530028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166367545344000).

77478530028480 is an abundant number, since it is smaller than the sum of its proper divisors (255256560659520).

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

77478530028480 is a wasteful number, since it uses less digits than its factorization.

77478530028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 77478530028480 in words is "seventy-seven trillion, four hundred seventy-eight billion, five hundred thirty million, twenty-eight thousand, four hundred eighty".