76938634080 has 1440 divisors, whose sum is σ = 351168314112. Its totient is φ = 15519651840.

The previous prime is 76938634079. The next prime is 76938634081. The reversal of 76938634080 is 8043683967.

76938634080 is a `hidden beast` number, since 76 + 93 + 86 + 3 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76938634079) and next prime (76938634081).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×76938634080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76938634081) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 472016079 + ... + 472016241.

Almost surely, 2^76938634080 is an apocalyptic number.

76938634080 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 76938634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175584157056).

76938634080 is an abundant number, since it is smaller than the sum of its proper divisors (274229680032).

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

76938634080 is a wasteful number, since it uses less digits than its factorization.

76938634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 76938634080 in words is "seventy-six billion, nine hundred thirty-eight million, six hundred thirty-four thousand, eighty".