77326768400 has 240 divisors, whose sum is σ = 216755472000. Its totient is φ = 25963130880.

The previous prime is 77326768369. The next prime is 77326768417. The reversal of 77326768400 is 486762377.

It is a super-2 number, since 2×77326768400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 30454331 + ... + 30456869.

It is an arithmetic number, because the mean of its divisors is an integer number (903147800).

Almost surely, 2^77326768400 is an apocalyptic number.

77326768400 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 77326768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108377736000).

77326768400 is an abundant number, since it is smaller than the sum of its proper divisors (139428703600).

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

77326768400 is a wasteful number, since it uses less digits than its factorization.

77326768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 50.

The spelling of 77326768400 in words is "seventy-seven billion, three hundred twenty-six million, seven hundred sixty-eight thousand, four hundred".