76717440 has 192 divisors, whose sum is σ = 279255600. Its totient is φ = 19353600.

The previous prime is 76717439. The next prime is 76717451. The reversal of 76717440 is 4471767.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 76717395 and 76717404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109090 + ... + 109790.

Almost surely, 2^76717440 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 76717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139627800).

76717440 is an abundant number, since it is smaller than the sum of its proper divisors (202538160).

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

76717440 is a wasteful number, since it uses less digits than its factorization.

76717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 76717440 is about 8758.8492394835. The cubic root of 76717440 is about 424.9110586662.

The spelling of 76717440 in words is "seventy-six million, seven hundred seventeen thousand, four hundred forty".