76068720 has 480 divisors, whose sum is σ = 333645312. Its totient is φ = 15676416.

The previous prime is 76068719. The next prime is 76068721. The reversal of 76068720 is 2786067.

It is an interprime number because it is at equal distance from previous prime (76068719) and next prime (76068721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76068721) 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, 1769019 + ... + 1769061.

Almost surely, 2^76068720 is an apocalyptic number.

76068720 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 76068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166822656).

76068720 is an abundant number, since it is smaller than the sum of its proper divisors (257576592).

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

76068720 is a wasteful number, since it uses less digits than its factorization.

76068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 76068720 is about 8721.7383588365. The cubic root of 76068720 is about 423.7099891739.

The spelling of 76068720 in words is "seventy-six million, sixty-eight thousand, seven hundred twenty".