76479600 has 240 divisors, whose sum is σ = 272339712. Its totient is φ = 18247680.

The previous prime is 76479581. The next prime is 76479653. The reversal of 76479600 is 697467.

It is a tau number, because it is divible by the number of its divisors (240).

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, 469119 + ... + 469281.

Almost surely, 2^76479600 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 76479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136169856).

76479600 is an abundant number, since it is smaller than the sum of its proper divisors (195860112).

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

76479600 is a wasteful number, since it uses less digits than its factorization.

76479600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 76479600 is about 8745.2615741326. The cubic root of 76479600 is about 424.4714999297.

The spelling of 76479600 in words is "seventy-six million, four hundred seventy-nine thousand, six hundred".