77546004480 has 1176 divisors, whose sum is σ = 330699439692. Its totient is φ = 17390370816.

The previous prime is 77546004463. The next prime is 77546004491. The reversal of 77546004480 is 8440064577.

77546004480 is a `hidden beast` number, since 7 + 75 + 460 + 0 + 44 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77399691264 + 146313216 = 278208^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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 83 ways as a sum of consecutive naturals, for example, 1463132134 + ... + 1463132186.

Almost surely, 2^77546004480 is an apocalyptic number.

77546004480 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 77546004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165349719846).

77546004480 is an abundant number, since it is smaller than the sum of its proper divisors (253153435212).

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

77546004480 is an frugal number, since it uses more digits than its factorization.

77546004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 77546004480 in words is "seventy-seven billion, five hundred forty-six million, four thousand, four hundred eighty".