76678140 has 144 divisors (see below), whose sum is σ = 272571264. Its totient is φ = 15926400.

The previous prime is 76678127. The next prime is 76678141. The reversal of 76678140 is 4187667.

76678140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

76678140 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76678141) 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, 31155 + ... + 33525.

It is an arithmetic number, because the mean of its divisors is an integer number (1892856).

Almost surely, 2^76678140 is an apocalyptic number.

76678140 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 76678140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136285632).

76678140 is an abundant number, since it is smaller than the sum of its proper divisors (195893124).

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

76678140 is a wasteful number, since it uses less digits than its factorization.

76678140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 76678140 is about 8756.6055067018. The cubic root of 76678140 is about 424.8384899566.

The spelling of 76678140 in words is "seventy-six million, six hundred seventy-eight thousand, one hundred forty".