77061003264 has 768 divisors, whose sum is σ = 283046400000. Its totient is φ = 20635582464.

The previous prime is 77061003197. The next prime is 77061003277. The reversal of 77061003264 is 46230016077.

77061003264 is a `hidden beast` number, since 7 + 7 + 0 + 610 + 0 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322430857 + ... + 322431095.

It is an arithmetic number, because the mean of its divisors is an integer number (368550000).

Almost surely, 2^77061003264 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 77061003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200000).

77061003264 is an abundant number, since it is smaller than the sum of its proper divisors (205985396736).

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

77061003264 is a wasteful number, since it uses less digits than its factorization.

77061003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 77061003264 in words is "seventy-seven billion, sixty-one million, three thousand, two hundred sixty-four".