76017480 has 256 divisors, whose sum is σ = 299980800. Its totient is φ = 14929920.

The previous prime is 76017451. The next prime is 76017493. The reversal of 76017480 is 8471067.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175344 + ... + 175776.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^76017480 is an apocalyptic number.

76017480 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 76017480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

76017480 is an abundant number, since it is smaller than the sum of its proper divisors (223963320).

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

76017480 is a wasteful number, since it uses less digits than its factorization.

76017480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

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

The square root of 76017480 is about 8718.8003761986. The cubic root of 76017480 is about 423.6148305836.

The spelling of 76017480 in words is "seventy-six million, seventeen thousand, four hundred eighty".