76451465200 has 240 divisors, whose sum is σ = 205291003392. Its totient is φ = 27126400000.

The previous prime is 76451465191. The next prime is 76451465243. The reversal of 76451465200 is 256415467.

It is a happy number.

It is a super-2 number, since 2×76451465200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31551189 + ... + 31553611.

Almost surely, 2^76451465200 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 76451465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102645501696).

76451465200 is an abundant number, since it is smaller than the sum of its proper divisors (128839538192).

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

76451465200 is a wasteful number, since it uses less digits than its factorization.

76451465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 76451465200 in words is "seventy-six billion, four hundred fifty-one million, four hundred sixty-five thousand, two hundred".