77260365000 has 1280 divisors, whose sum is σ = 348488448000. Its totient is φ = 15396480000.

The previous prime is 77260364999. The next prime is 77260365011. The reversal of 77260365000 is 56306277.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 233414835 + ... + 233415165.

It is an arithmetic number, because the mean of its divisors is an integer number (272256600).

Almost surely, 2^77260365000 is an apocalyptic number.

77260365000 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 77260365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174244224000).

77260365000 is an abundant number, since it is smaller than the sum of its proper divisors (271228083000).

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

77260365000 is a wasteful number, since it uses less digits than its factorization.

77260365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 77260365000 in words is "seventy-seven billion, two hundred sixty million, three hundred sixty-five thousand".