77478266880 has 1536 divisors, whose sum is σ = 345945600000. Its totient is φ = 16387080192.

The previous prime is 77478266869. The next prime is 77478266909. The reversal of 77478266880 is 8866287477.

77478266880 is a `hidden beast` number, since 7 + 7 + 478 + 26 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1801820139 + ... + 1801820181.

It is an arithmetic number, because the mean of its divisors is an integer number (225225000).

Almost surely, 2^77478266880 is an apocalyptic number.

77478266880 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 77478266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800000).

77478266880 is an abundant number, since it is smaller than the sum of its proper divisors (268467333120).

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

77478266880 is a wasteful number, since it uses less digits than its factorization.

77478266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 77478266880 in words is "seventy-seven billion, four hundred seventy-eight million, two hundred sixty-six thousand, eight hundred eighty".