76868610 has 128 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 15759360.

The previous prime is 76868581. The next prime is 76868657. The reversal of 76868610 is 1686867.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100630 + ... + 101390.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 2^76868610 is an apocalyptic number.

76868610 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76868610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

76868610 is an abundant number, since it is smaller than the sum of its proper divisors (156632574).

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

76868610 is a wasteful number, since it uses less digits than its factorization.

76868610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 76868610 is about 8767.4745508613. The cubic root of 76868610 is about 425.1899681312.

It can be divided in two parts, 768 and 68610, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 76868610 in words is "seventy-six million, eight hundred sixty-eight thousand, six hundred ten".