77010492960 has 384 divisors, whose sum is σ = 293515488000. Its totient is φ = 18783830016.

The previous prime is 77010492947. The next prime is 77010492973. The reversal of 77010492960 is 6929401077.

77010492960 is a `hidden beast` number, since 7 + 70 + 1 + 0 + 492 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77010492947) and next prime (77010492973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2364144 + ... + 2396496.

It is an arithmetic number, because the mean of its divisors is an integer number (764363250).

Almost surely, 2^77010492960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77010492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146757744000).

77010492960 is an abundant number, since it is smaller than the sum of its proper divisors (216504995040).

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

77010492960 is a wasteful number, since it uses less digits than its factorization.

77010492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 77010492960 in words is "seventy-seven billion, ten million, four hundred ninety-two thousand, nine hundred sixty".