77014000 has 80 divisors (see below), whose sum is σ = 212861376. Its totient is φ = 26400000.

The previous prime is 77013991. The next prime is 77014001. The reversal of 77014000 is 41077.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77014001) 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 15 ways as a sum of consecutive naturals, for example, 11250 + ... + 16750.

Almost surely, 2^77014000 is an apocalyptic number.

77014000 is a gapful number since it is divisible by the number (70) 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 77014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106430688).

77014000 is an abundant number, since it is smaller than the sum of its proper divisors (135847376).

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

77014000 is a wasteful number, since it uses less digits than its factorization.

77014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 77014000 is about 8775.7620751705. The cubic root of 77014000 is about 425.4578687118.

Adding to 77014000 its reverse (41077), we get a palindrome (77055077).

The spelling of 77014000 in words is "seventy-seven million, fourteen thousand".