76655040 has 448 divisors, whose sum is σ = 326550528. Its totient is φ = 14745600.

The previous prime is 76655003. The next prime is 76655053. The reversal of 76655040 is 4055667.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 76654992 and 76655010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256610 + ... + 1256670.

Almost surely, 2^76655040 is an apocalyptic number.

76655040 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 76655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

76655040 is an abundant number, since it is smaller than the sum of its proper divisors (249895488).

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

76655040 is a wasteful number, since it uses less digits than its factorization.

76655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 76655040 is about 8755.2864030824. The cubic root of 76655040 is about 424.7958234948.

The spelling of 76655040 in words is "seventy-six million, six hundred fifty-five thousand, forty".