76465620 has 240 divisors, whose sum is σ = 299553408. Its totient is φ = 15863040.

The previous prime is 76465589. The next prime is 76465657. The reversal of 76465620 is 2656467.

76465620 is a `hidden beast` number, since 7 + 646 + 5 + 6 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124434 + ... + 125046.

Almost surely, 2^76465620 is an apocalyptic number.

76465620 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 76465620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149776704).

76465620 is an abundant number, since it is smaller than the sum of its proper divisors (223087788).

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

76465620 is a wasteful number, since it uses less digits than its factorization.

76465620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 76465620 is about 8744.4622476171. The cubic root of 76465620 is about 424.4456347614.

The spelling of 76465620 in words is "seventy-six million, four hundred sixty-five thousand, six hundred twenty".