76664750400 has 1008 divisors, whose sum is σ = 342147851136. Its totient is φ = 16482631680.

The previous prime is 76664750387. The next prime is 76664750423. The reversal of 76664750400 is 405746667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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, 46266372 + ... + 46268028.

It is an arithmetic number, because the mean of its divisors is an integer number (339432392).

Almost surely, 2^76664750400 is an apocalyptic number.

76664750400 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 76664750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171073925568).

76664750400 is an abundant number, since it is smaller than the sum of its proper divisors (265483100736).

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

76664750400 is a wasteful number, since it uses less digits than its factorization.

76664750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 76664750400 in words is "seventy-six billion, six hundred sixty-four million, seven hundred fifty thousand, four hundred".