76500480 has 160 divisors (see below), whose sum is σ = 279696384. Its totient is φ = 17473536.

The previous prime is 76500421. The next prime is 76500481. The reversal of 76500480 is 8400567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76500481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53049 + ... + 54471.

Almost surely, 2^76500480 is an apocalyptic number.

76500480 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 76500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139848192).

76500480 is an abundant number, since it is smaller than the sum of its proper divisors (203195904).

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

76500480 is a wasteful number, since it uses less digits than its factorization.

76500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76500480 is about 8746.4552819985. The cubic root of 76500480 is about 424.5101252994.

The spelling of 76500480 in words is "seventy-six million, five hundred thousand, four hundred eighty".