77213970288 has 600 divisors, whose sum is σ = 278769188880. Its totient is φ = 19820021760.

The previous prime is 77213970277. The next prime is 77213970307. The reversal of 77213970288 is 88207931277.

It is a super-2 number, since 2×77213970288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184281343 + ... + 184281761.

Almost surely, 2^77213970288 is an apocalyptic number.

77213970288 is a gapful number since it is divisible by the number (78) 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 77213970288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139384594440).

77213970288 is an abundant number, since it is smaller than the sum of its proper divisors (201555218592).

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

77213970288 is a wasteful number, since it uses less digits than its factorization.

77213970288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 77213970288 in words is "seventy-seven billion, two hundred thirteen million, nine hundred seventy thousand, two hundred eighty-eight".