76453977600 has 2880 divisors, whose sum is σ = 401136468480. Its totient is φ = 13801881600.

The previous prime is 76453977577. The next prime is 76453977619. The reversal of 76453977600 is 677935467.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×76453977600² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4497292792 + ... + 4497292808.

It is an arithmetic number, because the mean of its divisors is an integer number (139283496).

Almost surely, 2^76453977600 is an apocalyptic number.

76453977600 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 76453977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200568234240).

76453977600 is an abundant number, since it is smaller than the sum of its proper divisors (324682490880).

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

76453977600 is a wasteful number, since it uses less digits than its factorization.

76453977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 76453977600 in words is "seventy-six billion, four hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".