77367052152 has 240 divisors, whose sum is σ = 240387950880. Its totient is φ = 23223283200.

The previous prime is 77367052093. The next prime is 77367052219. The reversal of 77367052152 is 25125076377.

77367052152 is a `hidden beast` number, since 7 + 7 + 3 + 6 + 70 + 521 + 52 = 666.

It is a super-2 number, since 2×77367052152² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77367052098 and 77367052107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4481377 + ... + 4498607.

It is an arithmetic number, because the mean of its divisors is an integer number (1001616462).

Almost surely, 2^77367052152 is an apocalyptic number.

77367052152 is a gapful number since it is divisible by the number (72) 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 77367052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120193975440).

77367052152 is an abundant number, since it is smaller than the sum of its proper divisors (163020898728).

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

77367052152 is a wasteful number, since it uses less digits than its factorization.

77367052152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17316 (or 17290 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 77367052152 in words is "seventy-seven billion, three hundred sixty-seven million, fifty-two thousand, one hundred fifty-two".