77296480 has 48 divisors (see below), whose sum is σ = 187082784. Its totient is φ = 30161920.

The previous prime is 77296477. The next prime is 77296481. The reversal of 77296480 is 8469277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77296481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 12451.

It is an arithmetic number, because the mean of its divisors is an integer number (3897558).

Almost surely, 2^77296480 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 77296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93541392).

77296480 is an abundant number, since it is smaller than the sum of its proper divisors (109786304).

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

77296480 is a wasteful number, since it uses less digits than its factorization.

77296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 77296480 is about 8791.8416728237. The cubic root of 77296480 is about 425.9774136305.

The spelling of 77296480 in words is "seventy-seven million, two hundred ninety-six thousand, four hundred eighty".