76645094400 has 1584 divisors, whose sum is σ = 342606881280. Its totient is φ = 16721510400.

The previous prime is 76645094359. The next prime is 76645094417. The reversal of 76645094400 is 449054667.

76645094400 is a `hidden beast` number, since 76 + 6 + 450 + 94 + 40 + 0 = 666.

It is a super-2 number, since 2×76645094400² (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, 1049932764 + ... + 1049932836.

Almost surely, 2^76645094400 is an apocalyptic number.

76645094400 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 76645094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171303440640).

76645094400 is an abundant number, since it is smaller than the sum of its proper divisors (265961786880).

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

76645094400 is a wasteful number, since it uses less digits than its factorization.

76645094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76645094400 in words is "seventy-six billion, six hundred forty-five million, ninety-four thousand, four hundred".