77391360 has 120 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 20631552.

The previous prime is 77391341. The next prime is 77391373. The reversal of 77391360 is 6319377.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21361 + ... + 24719.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^77391360 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 77391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

77391360 is an abundant number, since it is smaller than the sum of its proper divisors (190716480).

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

77391360 is a wasteful number, since it uses less digits than its factorization.

77391360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 77391360 is about 8797.2359295406. The cubic root of 77391360 is about 426.1516354983.

The spelling of 77391360 in words is "seventy-seven million, three hundred ninety-one thousand, three hundred sixty".