77622457920 has 896 divisors, whose sum is σ = 305131622400. Its totient is φ = 16343728128.

The previous prime is 77622457909. The next prime is 77622457931. The reversal of 77622457920 is 2975422677.

It is an interprime number because it is at equal distance from previous prime (77622457909) and next prime (77622457931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494410482 + ... + 494410638.

Almost surely, 2^77622457920 is an apocalyptic number.

77622457920 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 77622457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152565811200).

77622457920 is an abundant number, since it is smaller than the sum of its proper divisors (227509164480).

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

77622457920 is a wasteful number, since it uses less digits than its factorization.

77622457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 77622457920 in words is "seventy-seven billion, six hundred twenty-two million, four hundred fifty-seven thousand, nine hundred twenty".