77148285480 has 384 divisors, whose sum is σ = 304180531200. Its totient is φ = 16554295296.

The previous prime is 77148285469. The next prime is 77148285499. The reversal of 77148285480 is 8458284177.

77148285480 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 82 + 85 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18547641 + ... + 18551799.

It is an arithmetic number, because the mean of its divisors is an integer number (792136800).

Almost surely, 2^77148285480 is an apocalyptic number.

77148285480 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 77148285480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152090265600).

77148285480 is an abundant number, since it is smaller than the sum of its proper divisors (227032245720).

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

77148285480 is a wasteful number, since it uses less digits than its factorization.

77148285480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 77148285480 in words is "seventy-seven billion, one hundred forty-eight million, two hundred eighty-five thousand, four hundred eighty".