78065812157760 has 1344 divisors, whose sum is σ = 313761674004480. Its totient is φ = 17448338718720.

The previous prime is 78065812157743. The next prime is 78065812157791. The reversal of 78065812157760 is 6775121856087.

78065812157760 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 58 + 1 + 2 + 1 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×78065812157760⁴ (a number of 57 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115996748784 + ... + 115996749456.

Almost surely, 2^{78065812157760} is an apocalyptic number.

78065812157760 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 78065812157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156880837002240).

78065812157760 is an abundant number, since it is smaller than the sum of its proper divisors (235695861846720).

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

78065812157760 is a wasteful number, since it uses less digits than its factorization.

78065812157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 78065812157760 in words is "seventy-eight trillion, sixty-five billion, eight hundred twelve million, one hundred fifty-seven thousand, seven hundred sixty".