76026720 has 384 divisors, whose sum is σ = 318753792. Its totient is φ = 14868480.

The previous prime is 76026701. The next prime is 76026763. The reversal of 76026720 is 2762067.

76026720 = T₂₈₈ + T₂₈₉ + ... + T₇₈₂.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4472152 + ... + 4472168.

It is an arithmetic number, because the mean of its divisors is an integer number (830088).

Almost surely, 2^76026720 is an apocalyptic number.

76026720 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 76026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

76026720 is an abundant number, since it is smaller than the sum of its proper divisors (242727072).

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

76026720 is a wasteful number, since it uses less digits than its factorization.

76026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 76026720 is about 8719.3302495088. The cubic root of 76026720 is about 423.6319934890.

Adding to 76026720 its reverse (2762067), we get a palindrome (78788787).

The spelling of 76026720 in words is "seventy-six million, twenty-six thousand, seven hundred twenty".