77072730 has 64 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 16579584.

The previous prime is 77072729. The next prime is 77072741. The reversal of 77072730 is 3727077.

It is a junction number, because it is equal to n+sod(n) for n = 77072691 and 77072700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7225 + ... + 14364.

It is an arithmetic number, because the mean of its divisors is an integer number (3497580).

Almost surely, 2^77072730 is an apocalyptic number.

77072730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77072730 is an abundant number, since it is smaller than the sum of its proper divisors (146772390).

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

77072730 is a wasteful number, since it uses less digits than its factorization.

77072730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623.

The product of its (nonzero) digits is 14406, while the sum is 33.

The square root of 77072730 is about 8779.1075856262. The cubic root of 77072730 is about 425.5659910086.

The spelling of 77072730 in words is "seventy-seven million, seventy-two thousand, seven hundred thirty".