76265481600 has 1728 divisors, whose sum is σ = 366920377200. Its totient is φ = 14915174400.

The previous prime is 76265481599. The next prime is 76265481601. The reversal of 76265481600 is 618456267.

76265481600 is a `hidden beast` number, since 7 + 626 + 5 + 4 + 8 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76265481599) and next prime (76265481601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76265481601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4486204792 + ... + 4486204808.

Almost surely, 2^76265481600 is an apocalyptic number.

76265481600 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 76265481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183460188600).

76265481600 is an abundant number, since it is smaller than the sum of its proper divisors (290654895600).

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

76265481600 is a wasteful number, since it uses less digits than its factorization.

76265481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76265481600 in words is "seventy-six billion, two hundred sixty-five million, four hundred eighty-one thousand, six hundred".