76020480 has 108 divisors (see below), whose sum is σ = 263062800. Its totient is φ = 20269056.

The previous prime is 76020473. The next prime is 76020491. The reversal of 76020480 is 8402067.

It is a super-2 number, since 2×76020480² = 11558226758860800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8221 + ... + 14819.

Almost surely, 2^76020480 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 76020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131531400).

76020480 is an abundant number, since it is smaller than the sum of its proper divisors (187042320).

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

76020480 is a wasteful number, since it uses less digits than its factorization.

76020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76020480 is about 8718.9724165179. The cubic root of 76020480 is about 423.6204031079.

The spelling of 76020480 in words is "seventy-six million, twenty thousand, four hundred eighty".