76738480 has 160 divisors (see below), whose sum is σ = 223985664. Its totient is φ = 23804928.

The previous prime is 76738477. The next prime is 76738513. The reversal of 76738480 is 8483767.

76738480 = T₁₅₀₄ + T₁₅₀₅ + ... + T₁₅₆₈.

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, 604177 + ... + 604303.

Almost surely, 2^76738480 is an apocalyptic number.

76738480 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 76738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111992832).

76738480 is an abundant number, since it is smaller than the sum of its proper divisors (147247184).

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

76738480 is a wasteful number, since it uses less digits than its factorization.

76738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 76738480 is about 8760.0502281665. The cubic root of 76738480 is about 424.9498995152.

The spelling of 76738480 in words is "seventy-six million, seven hundred thirty-eight thousand, four hundred eighty".