76765920 has 384 divisors, whose sum is σ = 315850752. Its totient is φ = 15206400.

The previous prime is 76765919. The next prime is 76765921. The reversal of 76765920 is 2956767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76765919) and next prime (76765921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76765921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145727 + ... + 1145793.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 2^76765920 is an apocalyptic number.

76765920 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 76765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157925376).

76765920 is an abundant number, since it is smaller than the sum of its proper divisors (239084832).

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

76765920 is a wasteful number, since it uses less digits than its factorization.

76765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 76765920 is about 8761.6162892471. The cubic root of 76765920 is about 425.0005444053. Note that the first 3 decimals are identical.

The spelling of 76765920 in words is "seventy-six million, seven hundred sixty-five thousand, nine hundred twenty".