77234013360 has 480 divisors, whose sum is σ = 313205667840. Its totient is φ = 16680609792.

The previous prime is 77234013319. The next prime is 77234013361. The reversal of 77234013360 is 6331043277.

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

It is not an unprimeable number, because it can be changed into a prime (77234013361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6863899 + ... + 6875141.

It is an arithmetic number, because the mean of its divisors is an integer number (652511808).

Almost surely, 2^77234013360 is an apocalyptic number.

77234013360 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 77234013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156602833920).

77234013360 is an abundant number, since it is smaller than the sum of its proper divisors (235971654480).

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

77234013360 is a wasteful number, since it uses less digits than its factorization.

77234013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 77234013360 in words is "seventy-seven billion, two hundred thirty-four million, thirteen thousand, three hundred sixty".