76899110400 has 1440 divisors, whose sum is σ = 347067072000. Its totient is φ = 16582164480.

The previous prime is 76899110399. The next prime is 76899110417. The reversal of 76899110400 is 401199867.

It is a happy number.

76899110400 is a `hidden beast` number, since 76 + 89 + 91 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×76899110400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321753481 + ... + 321753719.

It is an arithmetic number, because the mean of its divisors is an integer number (241018800).

Almost surely, 2^76899110400 is an apocalyptic number.

76899110400 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 76899110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173533536000).

76899110400 is an abundant number, since it is smaller than the sum of its proper divisors (270167961600).

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

76899110400 is a wasteful number, since it uses less digits than its factorization.

76899110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 76899110400 in words is "seventy-six billion, eight hundred ninety-nine million, one hundred ten thousand, four hundred".