76026263040 has 1920 divisors, whose sum is σ = 360336936960. Its totient is φ = 14906032128.

The previous prime is 76026263039. The next prime is 76026263051. The reversal of 76026263040 is 4036262067.

It is a happy number.

76026263040 is a `hidden beast` number, since 7 + 602 + 6 + 2 + 6 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76026262986 and 76026263004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 962357721 + ... + 962357799.

It is an arithmetic number, because the mean of its divisors is an integer number (187675488).

Almost surely, 2^76026263040 is an apocalyptic number.

76026263040 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 76026263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

76026263040 is an abundant number, since it is smaller than the sum of its proper divisors (284310673920).

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

76026263040 is a wasteful number, since it uses less digits than its factorization.

76026263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 76026263040 in words is "seventy-six billion, twenty-six million, two hundred sixty-three thousand, forty".