77964480 has 336 divisors, whose sum is σ = 308116224. Its totient is φ = 17909760.

The previous prime is 77964479. The next prime is 77964487. The reversal of 77964480 is 8446977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77964487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728587 + ... + 728693.

Almost surely, 2^77964480 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 77964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

77964480 is an abundant number, since it is smaller than the sum of its proper divisors (230151744).

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

77964480 is a wasteful number, since it uses less digits than its factorization.

77964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 77964480 is about 8829.7497133271. The cubic root of 77964480 is about 427.2010015547.

The spelling of 77964480 in words is "seventy-seven million, nine hundred sixty-four thousand, four hundred eighty".