77007362460 has 96 divisors (see below), whose sum is σ = 249542952960. Its totient is φ = 17378869248.

The previous prime is 77007362441. The next prime is 77007362513. The reversal of 77007362460 is 6426370077.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127269 + ... + 1193628.

It is an arithmetic number, because the mean of its divisors is an integer number (2599405760).

Almost surely, 2^77007362460 is an apocalyptic number.

77007362460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77007362460 is an abundant number, since it is smaller than the sum of its proper divisors (172535590500).

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

77007362460 is a wasteful number, since it uses less digits than its factorization.

77007362460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320995 (or 2320993 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 77007362460 in words is "seventy-seven billion, seven million, three hundred sixty-two thousand, four hundred sixty".