77386306314240 has 2688 divisors, whose sum is σ = 351455141030400. Its totient is φ = 15974368542720.

The previous prime is 77386306314227. The next prime is 77386306314257. The reversal of 77386306314240 is 4241360368377.

77386306314240 is a `hidden beast` number, since 7 + 7 + 3 + 86 + 3 + 0 + 6 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×77386306314240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117429903031 + ... + 117429903689.

Almost surely, 2^{77386306314240} is an apocalyptic number.

77386306314240 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 77386306314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175727570515200).

77386306314240 is an abundant number, since it is smaller than the sum of its proper divisors (274068834716160).

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

77386306314240 is a wasteful number, since it uses less digits than its factorization.

77386306314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 77386306314240 in words is "seventy-seven trillion, three hundred eighty-six billion, three hundred six million, three hundred fourteen thousand, two hundred forty".