76794480 has 200 divisors, whose sum is σ = 305001312. Its totient is φ = 17542656.

The previous prime is 76794479. The next prime is 76794481. The reversal of 76794480 is 8449767.

It is an interprime number because it is at equal distance from previous prime (76794479) and next prime (76794481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76794481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44514 + ... + 46206.

Almost surely, 2^76794480 is an apocalyptic number.

76794480 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 76794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500656).

76794480 is an abundant number, since it is smaller than the sum of its proper divisors (228206832).

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

76794480 is a wasteful number, since it uses less digits than its factorization.

76794480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76794480 is about 8763.2459739528. The cubic root of 76794480 is about 425.0532436178.

The spelling of 76794480 in words is "seventy-six million, seven hundred ninety-four thousand, four hundred eighty".