76751640 has 288 divisors, whose sum is σ = 306774000. Its totient is φ = 16547328.

The previous prime is 76751569. The next prime is 76751663. The reversal of 76751640 is 4615767.

76751640 is a `hidden beast` number, since 7 + 6 + 7 + 5 + 1 + 640 = 666.

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 = 76751595 and 76751604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335046 + ... + 335274.

Almost surely, 2^76751640 is an apocalyptic number.

76751640 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 76751640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153387000).

76751640 is an abundant number, since it is smaller than the sum of its proper divisors (230022360).

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

76751640 is a wasteful number, since it uses less digits than its factorization.

76751640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 76751640 is about 8760.8013332115. The cubic root of 76751640 is about 424.9741898974.

The spelling of 76751640 in words is "seventy-six million, seven hundred fifty-one thousand, six hundred forty".