76140960 has 384 divisors, whose sum is σ = 306561024. Its totient is φ = 15482880.

The previous prime is 76140947. The next prime is 76140983. The reversal of 76140960 is 6904167.

It is a happy number.

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, 1770699 + ... + 1770741.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 2^76140960 is an apocalyptic number.

76140960 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 76140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280512).

76140960 is an abundant number, since it is smaller than the sum of its proper divisors (230420064).

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

76140960 is a wasteful number, since it uses less digits than its factorization.

76140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76140960 is about 8725.8787523091. The cubic root of 76140960 is about 423.8440746225.

The spelling of 76140960 in words is "seventy-six million, one hundred forty thousand, nine hundred sixty".