76313160 has 192 divisors, whose sum is σ = 309329280. Its totient is φ = 15851520.

The previous prime is 76313113. The next prime is 76313161. The reversal of 76313160 is 6131367.

It is a super-3 number, since 3×76313160³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76313161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26344 + ... + 29096.

It is an arithmetic number, because the mean of its divisors is an integer number (1611090).

Almost surely, 2^76313160 is an apocalyptic number.

76313160 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 76313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

76313160 is an abundant number, since it is smaller than the sum of its proper divisors (233016120).

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

76313160 is a wasteful number, since it uses less digits than its factorization.

76313160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 76313160 is about 8735.7403807577. The cubic root of 76313160 is about 424.1633552354.

It can be divided in two parts, 76 and 313160, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 76313160 in words is "seventy-six million, three hundred thirteen thousand, one hundred sixty".