77561261407000 has 512 divisors, whose sum is σ = 221634766080000. Its totient is φ = 24814256947200.

The previous prime is 77561261406973. The next prime is 77561261407087. The reversal of 77561261407000 is 70416216577.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3720132576 + ... + 3720153424.

It is an arithmetic number, because the mean of its divisors is an integer number (432880402500).

Almost surely, 2^{77561261407000} is an apocalyptic number.

77561261407000 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 77561261407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110817383040000).

77561261407000 is an abundant number, since it is smaller than the sum of its proper divisors (144073504673000).

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

77561261407000 is a wasteful number, since it uses less digits than its factorization.

77561261407000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21316 (or 21302 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 77561261407000 in words is "seventy-seven trillion, five hundred sixty-one billion, two hundred sixty-one million, four hundred seven thousand".