77490356160 has 672 divisors, whose sum is σ = 303384752640. Its totient is φ = 16673513472.

The previous prime is 77490356089. The next prime is 77490356171. The reversal of 77490356160 is 6165309477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72488106 + ... + 72489174.

Almost surely, 2^77490356160 is an apocalyptic number.

77490356160 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 77490356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151692376320).

77490356160 is an abundant number, since it is smaller than the sum of its proper divisors (225894396480).

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

77490356160 is a wasteful number, since it uses less digits than its factorization.

77490356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 77490356160 in words is "seventy-seven billion, four hundred ninety million, three hundred fifty-six thousand, one hundred sixty".