76790700 has 288 divisors, whose sum is σ = 299980800. Its totient is φ = 16450560.

The previous prime is 76790669. The next prime is 76790731. The reversal of 76790700 is 709767.

It is an interprime number because it is at equal distance from previous prime (76790669) and next prime (76790731).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321181 + ... + 321419.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^76790700 is an apocalyptic number.

76790700 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 76790700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

76790700 is an abundant number, since it is smaller than the sum of its proper divisors (223190100).

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

76790700 is a wasteful number, since it uses less digits than its factorization.

76790700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 76790700 is about 8763.0302977908. The cubic root of 76790700 is about 425.0462694723.

The spelling of 76790700 in words is "seventy-six million, seven hundred ninety thousand, seven hundred".