77270867520 has 336 divisors, whose sum is σ = 311336301888. Its totient is φ = 16056176640.

The previous prime is 77270867507. The next prime is 77270867549. The reversal of 77270867520 is 2576807277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442774 + ... + 592106.

Almost surely, 2^77270867520 is an apocalyptic number.

77270867520 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 77270867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155668150944).

77270867520 is an abundant number, since it is smaller than the sum of its proper divisors (234065434368).

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

77270867520 is a wasteful number, since it uses less digits than its factorization.

77270867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149378 (or 149361 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 77270867520 in words is "seventy-seven billion, two hundred seventy million, eight hundred sixty-seven thousand, five hundred twenty".