77412101760 has 512 divisors, whose sum is σ = 317243174400. Its totient is φ = 17691955200.

The previous prime is 77412101759. The next prime is 77412101761. The reversal of 77412101760 is 6710121477.

77412101760 is a `hidden beast` number, since 77 + 412 + 1 + 0 + 176 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77412101759) and next prime (77412101761).

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

It is not an unprimeable number, because it can be changed into a prime (77412101761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9793810 + ... + 9801710.

It is an arithmetic number, because the mean of its divisors is an integer number (619615575).

Almost surely, 2^77412101760 is an apocalyptic number.

77412101760 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 77412101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158621587200).

77412101760 is an abundant number, since it is smaller than the sum of its proper divisors (239831072640).

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

77412101760 is an frugal number, since it uses more digits than its factorization.

77412101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 77412101760 in words is "seventy-seven billion, four hundred twelve million, one hundred one thousand, seven hundred sixty".