77254085248704 has 336 divisors, whose sum is σ = 272710347786240. Its totient is φ = 20361613178880.

The previous prime is 77254085248679. The next prime is 77254085248723. The reversal of 77254085248704 is 40784258045277.

77254085248704 is a `hidden beast` number, since 7 + 7 + 2 + 540 + 8 + 5 + 2 + 4 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×77254085248704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 81243849 + ... + 82189239.

It is an arithmetic number, because the mean of its divisors is an integer number (811637939840).

Almost surely, 2^{77254085248704} 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 77254085248704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136355173893120).

77254085248704 is an abundant number, since it is smaller than the sum of its proper divisors (195456262537536).

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

77254085248704 is a wasteful number, since it uses less digits than its factorization.

77254085248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946988 (or 946975 counting only the distinct ones).

The product of its (nonzero) digits is 140492800, while the sum is 63.

The spelling of 77254085248704 in words is "seventy-seven trillion, two hundred fifty-four billion, eighty-five million, two hundred forty-eight thousand, seven hundred four".