76581960 has 128 divisors (see below), whose sum is σ = 282804480. Its totient is φ = 16155648.

The previous prime is 76581917. The next prime is 76581961. The reversal of 76581960 is 6918567.

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

It is not an unprimeable number, because it can be changed into a prime (76581961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7414 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (2209410).

Almost surely, 2^76581960 is an apocalyptic number.

76581960 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 76581960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141402240).

76581960 is an abundant number, since it is smaller than the sum of its proper divisors (206222520).

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

76581960 is a wasteful number, since it uses less digits than its factorization.

76581960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 76581960 is about 8751.1119293493. Note that the first 3 decimals coincide. The cubic root of 76581960 is about 424.6607858447.

The spelling of 76581960 in words is "seventy-six million, five hundred eighty-one thousand, nine hundred sixty".