76851360 has 144 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 20215296.

The previous prime is 76851329. The next prime is 76851361. The reversal of 76851360 is 6315867.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×76851360² = 11812263067699200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76851361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119199 + ... + 119841.

It is an arithmetic number, because the mean of its divisors is an integer number (1846026).

Almost surely, 2^76851360 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 76851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

76851360 is an abundant number, since it is smaller than the sum of its proper divisors (188976384).

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

76851360 is a wasteful number, since it uses less digits than its factorization.

76851360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76851360 is about 8766.4907460169. The cubic root of 76851360 is about 425.1581602811.

It can be divided in two parts, 7685 and 1360, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 76851360 in words is "seventy-six million, eight hundred fifty-one thousand, three hundred sixty".