77395099320 has 1536 divisors, whose sum is σ = 351477504000. Its totient is φ = 14780620800.

The previous prime is 77395099307. The next prime is 77395099373. The reversal of 77395099320 is 2399059377.

77395099320 is a `hidden beast` number, since 77 + 39 + 509 + 9 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1060206804 + ... + 1060206876.

It is an arithmetic number, because the mean of its divisors is an integer number (228826500).

Almost surely, 2^77395099320 is an apocalyptic number.

77395099320 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 77395099320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175738752000).

77395099320 is an abundant number, since it is smaller than the sum of its proper divisors (274082404680).

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

77395099320 is a wasteful number, since it uses less digits than its factorization.

77395099320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 77395099320 in words is "seventy-seven billion, three hundred ninety-five million, ninety-nine thousand, three hundred twenty".