76745460 has 144 divisors (see below), whose sum is σ = 244230336. Its totient is φ = 18004800.

The previous prime is 76745447. The next prime is 76745479. The reversal of 76745460 is 6454767.

It is a super-2 number, since 2×76745460² = 11779731261223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2475645 + ... + 2475675.

It is an arithmetic number, because the mean of its divisors is an integer number (1696044).

Almost surely, 2^76745460 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 76745460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122115168).

76745460 is an abundant number, since it is smaller than the sum of its proper divisors (167484876).

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

76745460 is a wasteful number, since it uses less digits than its factorization.

76745460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 76745460 is about 8760.4486186496. The cubic root of 76745460 is about 424.9627833616.

The spelling of 76745460 in words is "seventy-six million, seven hundred forty-five thousand, four hundred sixty".