76078660 has 96 divisors (see below), whose sum is σ = 197648640. Its totient is φ = 24012288.

The previous prime is 76078637. The next prime is 76078661. The reversal of 76078660 is 6687067.

It is not an unprimeable number, because it can be changed into a prime (76078661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98034 + ... + 98806.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 2^76078660 is an apocalyptic number.

76078660 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 76078660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98824320).

76078660 is an abundant number, since it is smaller than the sum of its proper divisors (121569980).

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

76078660 is a wasteful number, since it uses less digits than its factorization.

76078660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 76078660 is about 8722.3081807512. The cubic root of 76078660 is about 423.7284439512.

The spelling of 76078660 in words is "seventy-six million, seventy-eight thousand, six hundred sixty".