77414064 has 160 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 19823616.

The previous prime is 77414023. The next prime is 77414081. The reversal of 77414064 is 46041477.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161377 + ... + 161855.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^77414064 is an apocalyptic number.

77414064 is a gapful number since it is divisible by the number (74) 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 77414064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

77414064 is an abundant number, since it is smaller than the sum of its proper divisors (175903056).

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

77414064 is a wasteful number, since it uses less digits than its factorization.

77414064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 77414064 is about 8798.5262402291. The cubic root of 77414064 is about 426.1933042356.

The spelling of 77414064 in words is "seventy-seven million, four hundred fourteen thousand, sixty-four".