76674470400 has 1080 divisors, whose sum is σ = 314584334064. Its totient is φ = 18363801600.

The previous prime is 76674470393. The next prime is 76674470423. The reversal of 76674470400 is 407447667.

76674470400 is a `hidden beast` number, since 76 + 6 + 74 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×76674470400² (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 923788759 + ... + 923788841.

Almost surely, 2^76674470400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76674470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157292167032).

76674470400 is an abundant number, since it is smaller than the sum of its proper divisors (237909863664).

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

76674470400 is an frugal number, since it uses more digits than its factorization.

76674470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 76674470400 in words is "seventy-six billion, six hundred seventy-four million, four hundred seventy thousand, four hundred".