76107480 has 128 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 19123200.

The previous prime is 76107469. The next prime is 76107491. The reversal of 76107480 is 8470167.

It is an interprime number because it is at equal distance from previous prime (76107469) and next prime (76107491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152271 + ... + 152769.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^76107480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

76107480 is an abundant number, since it is smaller than the sum of its proper divisors (165812520).

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

76107480 is a wasteful number, since it uses less digits than its factorization.

76107480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 76107480 is about 8723.9601099501. The cubic root of 76107480 is about 423.7819425804.

The spelling of 76107480 in words is "seventy-six million, one hundred seven thousand, four hundred eighty".