77436480 has 112 divisors (see below), whose sum is σ = 268248384. Its totient is φ = 18769920.

The previous prime is 77436473. The next prime is 77436487. The reversal of 77436480 is 8463477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77436473) and next prime (77436487).

It is not an unprimeable number, because it can be changed into a prime (77436487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 14226.

Almost surely, 2^77436480 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 77436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134124192).

77436480 is an abundant number, since it is smaller than the sum of its proper divisors (190811904).

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

77436480 is a wasteful number, since it uses less digits than its factorization.

77436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 77436480 is about 8799.7999977272. The cubic root of 77436480 is about 426.2344364134.

The spelling of 77436480 in words is "seventy-seven million, four hundred thirty-six thousand, four hundred eighty".