78068760 has 384 divisors, whose sum is σ = 319127040. Its totient is φ = 15052800.

The previous prime is 78068729. The next prime is 78068761. The reversal of 78068760 is 6786087.

78068760 is a nontrivial binomial coefficient, being equal to C(12496, 2).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78068761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099525 + ... + 1099595.

It is an arithmetic number, because the mean of its divisors is an integer number (831060).

Almost surely, 2^78068760 is an apocalyptic number.

78068760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78068760 is the 12495-th triangular number and also the 6248-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159563520).

78068760 is an abundant number, since it is smaller than the sum of its proper divisors (241058280).

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

78068760 is a wasteful number, since it uses less digits than its factorization.

78068760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 78068760 is about 8835.6527772429. The cubic root of 78068760 is about 427.3913817274.

The spelling of 78068760 in words is "seventy-eight million, sixty-eight thousand, seven hundred sixty".