77085254400 has 864 divisors, whose sum is σ = 331106807808. Its totient is φ = 15314534400.

The previous prime is 77085254399. The next prime is 77085254401. The reversal of 77085254400 is 445258077.

It is an interprime number because it is at equal distance from previous prime (77085254399) and next prime (77085254401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (77085254401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34002067 + ... + 34004333.

It is an arithmetic number, because the mean of its divisors is an integer number (383225472).

Almost surely, 2^77085254400 is an apocalyptic number.

77085254400 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 77085254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165553403904).

77085254400 is an abundant number, since it is smaller than the sum of its proper divisors (254021553408).

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

77085254400 is a wasteful number, since it uses less digits than its factorization.

77085254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 77085254400 in words is "seventy-seven billion, eighty-five million, two hundred fifty-four thousand, four hundred".